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Finding the Third Proportional to 234,004.50 and 347,565.38

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Solution

The third proportional to 234,004.50 and 347,565.38 is: 516,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,004.50 : 347,565.38 = 347,565.38 : x
  2. Step 2: Convert to fraction form
    234,004.50/347,565.38 = 347,565.38/x
  3. Step 3: Cross multiply
    234,004.50x = 347,565.38 × 347,565.38
  4. Step 4: Simplify right side
    234,004.50x = 120,801,689,898.89
  5. Step 5: Solve for x
    x = 120,801,689,898.89/234,004.50
  6. Step 6: Final answer
    x = 516,236.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.