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Finding the Third Proportional to 159,217.31 and 232,262.44

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Solution

The third proportional to 159,217.31 and 232,262.44 is: 338,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,217.31 : 232,262.44 = 232,262.44 : x
  2. Step 2: Convert to fraction form
    159,217.31/232,262.44 = 232,262.44/x
  3. Step 3: Cross multiply
    159,217.31x = 232,262.44 × 232,262.44
  4. Step 4: Simplify right side
    159,217.31x = 53,945,839,873.44
  5. Step 5: Solve for x
    x = 53,945,839,873.44/159,217.31
  6. Step 6: Final answer
    x = 338,818.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.