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Finding the Third Proportional to 177,672 and 379,764

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Solution

The third proportional to 177,672 and 379,764 is: 811,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,672 : 379,764 = 379,764 : x
  2. Step 2: Convert to fraction form
    177,672/379,764 = 379,764/x
  3. Step 3: Cross multiply
    177,672x = 379,764 × 379,764
  4. Step 4: Simplify right side
    177,672x = 144,220,695,696
  5. Step 5: Solve for x
    x = 144,220,695,696/177,672
  6. Step 6: Final answer
    x = 811,724.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.