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Finding the Third Proportional to 131,761 and 288,508

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Solution

The third proportional to 131,761 and 288,508 is: 631,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,761 : 288,508 = 288,508 : x
  2. Step 2: Convert to fraction form
    131,761/288,508 = 288,508/x
  3. Step 3: Cross multiply
    131,761x = 288,508 × 288,508
  4. Step 4: Simplify right side
    131,761x = 83,236,866,064
  5. Step 5: Solve for x
    x = 83,236,866,064/131,761
  6. Step 6: Final answer
    x = 631,726.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.