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Finding the Third Proportional to 176,778 and 381,792

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Solution

The third proportional to 176,778 and 381,792 is: 824,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,778 : 381,792 = 381,792 : x
  2. Step 2: Convert to fraction form
    176,778/381,792 = 381,792/x
  3. Step 3: Cross multiply
    176,778x = 381,792 × 381,792
  4. Step 4: Simplify right side
    176,778x = 145,765,131,264
  5. Step 5: Solve for x
    x = 145,765,131,264/176,778
  6. Step 6: Final answer
    x = 824,566.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.