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Finding the Third Proportional to 255,328,265 and 404,368,163

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Solution

The third proportional to 255,328,265 and 404,368,163 is: 640,405,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,328,265 : 404,368,163 = 404,368,163 : x
  2. Step 2: Convert to fraction form
    255,328,265/404,368,163 = 404,368,163/x
  3. Step 3: Cross multiply
    255,328,265x = 404,368,163 × 404,368,163
  4. Step 4: Simplify right side
    255,328,265x = 163,513,611,247,994,560
  5. Step 5: Solve for x
    x = 163,513,611,247,994,560/255,328,265
  6. Step 6: Final answer
    x = 640,405,445.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.