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Finding the Third Proportional to 255,328,267 and 404,368,166

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Solution

The third proportional to 255,328,267 and 404,368,166 is: 640,405,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,328,267 : 404,368,166 = 404,368,166 : x
  2. Step 2: Convert to fraction form
    255,328,267/404,368,166 = 404,368,166/x
  3. Step 3: Cross multiply
    255,328,267x = 404,368,166 × 404,368,166
  4. Step 4: Simplify right side
    255,328,267x = 163,513,613,674,203,552
  5. Step 5: Solve for x
    x = 163,513,613,674,203,552/255,328,267
  6. Step 6: Final answer
    x = 640,405,449.80

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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.