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Finding the Third Proportional to 177,372 and 377,748

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Solution

The third proportional to 177,372 and 377,748 is: 804,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,372 : 377,748 = 377,748 : x
  2. Step 2: Convert to fraction form
    177,372/377,748 = 377,748/x
  3. Step 3: Cross multiply
    177,372x = 377,748 × 377,748
  4. Step 4: Simplify right side
    177,372x = 142,693,551,504
  5. Step 5: Solve for x
    x = 142,693,551,504/177,372
  6. Step 6: Final answer
    x = 804,487.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.