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Finding the Third Proportional to 166,060 and 251,055

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Solution

The third proportional to 166,060 and 251,055 is: 379,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,060 : 251,055 = 251,055 : x
  2. Step 2: Convert to fraction form
    166,060/251,055 = 251,055/x
  3. Step 3: Cross multiply
    166,060x = 251,055 × 251,055
  4. Step 4: Simplify right side
    166,060x = 63,028,613,025
  5. Step 5: Solve for x
    x = 63,028,613,025/166,060
  6. Step 6: Final answer
    x = 379,553.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.