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Finding the Third Proportional to 147,712.78 and 223,330.92

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Solution

The third proportional to 147,712.78 and 223,330.92 is: 337,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,712.78 : 223,330.92 = 223,330.92 : x
  2. Step 2: Convert to fraction form
    147,712.78/223,330.92 = 223,330.92/x
  3. Step 3: Cross multiply
    147,712.78x = 223,330.92 × 223,330.92
  4. Step 4: Simplify right side
    147,712.78x = 49,876,700,665.54
  5. Step 5: Solve for x
    x = 49,876,700,665.54/147,712.78
  6. Step 6: Final answer
    x = 337,660.02

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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.