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Finding the Third Proportional to 141,403 and 292,651

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Solution

The third proportional to 141,403 and 292,651 is: 605,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,403 : 292,651 = 292,651 : x
  2. Step 2: Convert to fraction form
    141,403/292,651 = 292,651/x
  3. Step 3: Cross multiply
    141,403x = 292,651 × 292,651
  4. Step 4: Simplify right side
    141,403x = 85,644,607,801
  5. Step 5: Solve for x
    x = 85,644,607,801/141,403
  6. Step 6: Final answer
    x = 605,677.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.