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Finding the Third Proportional to 131,792 and 287,446

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Solution

The third proportional to 131,792 and 287,446 is: 626,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,792 : 287,446 = 287,446 : x
  2. Step 2: Convert to fraction form
    131,792/287,446 = 287,446/x
  3. Step 3: Cross multiply
    131,792x = 287,446 × 287,446
  4. Step 4: Simplify right side
    131,792x = 82,625,202,916
  5. Step 5: Solve for x
    x = 82,625,202,916/131,792
  6. Step 6: Final answer
    x = 626,936.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.