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Finding the Third Proportional to 116,989.31 and 239,523.19

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Solution

The third proportional to 116,989.31 and 239,523.19 is: 490,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,989.31 : 239,523.19 = 239,523.19 : x
  2. Step 2: Convert to fraction form
    116,989.31/239,523.19 = 239,523.19/x
  3. Step 3: Cross multiply
    116,989.31x = 239,523.19 × 239,523.19
  4. Step 4: Simplify right side
    116,989.31x = 57,371,357,350.16
  5. Step 5: Solve for x
    x = 57,371,357,350.16/116,989.31
  6. Step 6: Final answer
    x = 490,398.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.