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Finding the Third Proportional to 147,174 and 227,831

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Solution

The third proportional to 147,174 and 227,831 is: 352,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,174 : 227,831 = 227,831 : x
  2. Step 2: Convert to fraction form
    147,174/227,831 = 227,831/x
  3. Step 3: Cross multiply
    147,174x = 227,831 × 227,831
  4. Step 4: Simplify right side
    147,174x = 51,906,964,561
  5. Step 5: Solve for x
    x = 51,906,964,561/147,174
  6. Step 6: Final answer
    x = 352,691.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.