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Finding the Third Proportional to 231,945.61 and 359,141.47

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Solution

The third proportional to 231,945.61 and 359,141.47 is: 556,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,945.61 : 359,141.47 = 359,141.47 : x
  2. Step 2: Convert to fraction form
    231,945.61/359,141.47 = 359,141.47/x
  3. Step 3: Cross multiply
    231,945.61x = 359,141.47 × 359,141.47
  4. Step 4: Simplify right side
    231,945.61x = 128,982,593,567.57
  5. Step 5: Solve for x
    x = 128,982,593,567.57/231,945.61
  6. Step 6: Final answer
    x = 556,089.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.