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Finding the Third Proportional to 175,792 and 372,536

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Solution

The third proportional to 175,792 and 372,536 is: 789,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,792 : 372,536 = 372,536 : x
  2. Step 2: Convert to fraction form
    175,792/372,536 = 372,536/x
  3. Step 3: Cross multiply
    175,792x = 372,536 × 372,536
  4. Step 4: Simplify right side
    175,792x = 138,783,071,296
  5. Step 5: Solve for x
    x = 138,783,071,296/175,792
  6. Step 6: Final answer
    x = 789,473.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.