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Finding the Third Proportional to 177,598 and 380,467

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Solution

The third proportional to 177,598 and 380,467 is: 815,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,598 : 380,467 = 380,467 : x
  2. Step 2: Convert to fraction form
    177,598/380,467 = 380,467/x
  3. Step 3: Cross multiply
    177,598x = 380,467 × 380,467
  4. Step 4: Simplify right side
    177,598x = 144,755,138,089
  5. Step 5: Solve for x
    x = 144,755,138,089/177,598
  6. Step 6: Final answer
    x = 815,071.89

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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.