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Finding the Third Proportional to 176,712 and 379,792

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Solution

The third proportional to 176,712 and 379,792 is: 816,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,712 : 379,792 = 379,792 : x
  2. Step 2: Convert to fraction form
    176,712/379,792 = 379,792/x
  3. Step 3: Cross multiply
    176,712x = 379,792 × 379,792
  4. Step 4: Simplify right side
    176,712x = 144,241,963,264
  5. Step 5: Solve for x
    x = 144,241,963,264/176,712
  6. Step 6: Final answer
    x = 816,254.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.