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Finding the Third Proportional to 239,461.31 and 368,179.17

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Solution

The third proportional to 239,461.31 and 368,179.17 is: 566,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,461.31 : 368,179.17 = 368,179.17 : x
  2. Step 2: Convert to fraction form
    239,461.31/368,179.17 = 368,179.17/x
  3. Step 3: Cross multiply
    239,461.31x = 368,179.17 × 368,179.17
  4. Step 4: Simplify right side
    239,461.31x = 135,555,902,602.56
  5. Step 5: Solve for x
    x = 135,555,902,602.56/239,461.31
  6. Step 6: Final answer
    x = 566,086.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.