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Finding the Third Proportional to 255,362 and 404,160

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Solution

The third proportional to 255,362 and 404,160 is: 639,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,362 : 404,160 = 404,160 : x
  2. Step 2: Convert to fraction form
    255,362/404,160 = 404,160/x
  3. Step 3: Cross multiply
    255,362x = 404,160 × 404,160
  4. Step 4: Simplify right side
    255,362x = 163,345,305,600
  5. Step 5: Solve for x
    x = 163,345,305,600/255,362
  6. Step 6: Final answer
    x = 639,661.76

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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.