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Finding the Third Proportional to 158,792 and 252,766

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Solution

The third proportional to 158,792 and 252,766 is: 402,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,792 : 252,766 = 252,766 : x
  2. Step 2: Convert to fraction form
    158,792/252,766 = 252,766/x
  3. Step 3: Cross multiply
    158,792x = 252,766 × 252,766
  4. Step 4: Simplify right side
    158,792x = 63,890,650,756
  5. Step 5: Solve for x
    x = 63,890,650,756/158,792
  6. Step 6: Final answer
    x = 402,354.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.