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Finding the Third Proportional to 177,930 and 277,101

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Solution

The third proportional to 177,930 and 277,101 is: 431,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,930 : 277,101 = 277,101 : x
  2. Step 2: Convert to fraction form
    177,930/277,101 = 277,101/x
  3. Step 3: Cross multiply
    177,930x = 277,101 × 277,101
  4. Step 4: Simplify right side
    177,930x = 76,784,964,201
  5. Step 5: Solve for x
    x = 76,784,964,201/177,930
  6. Step 6: Final answer
    x = 431,545.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.