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Finding the Third Proportional to 229,332.75 and 337,257.75

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Solution

The third proportional to 229,332.75 and 337,257.75 is: 495,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,332.75 : 337,257.75 = 337,257.75 : x
  2. Step 2: Convert to fraction form
    229,332.75/337,257.75 = 337,257.75/x
  3. Step 3: Cross multiply
    229,332.75x = 337,257.75 × 337,257.75
  4. Step 4: Simplify right side
    229,332.75x = 113,742,789,935.06
  5. Step 5: Solve for x
    x = 113,742,789,935.06/229,332.75
  6. Step 6: Final answer
    x = 495,972.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.