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Finding the Third Proportional to 152,229.75 and 231,935.25

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Solution

The third proportional to 152,229.75 and 231,935.25 is: 353,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,229.75 : 231,935.25 = 231,935.25 : x
  2. Step 2: Convert to fraction form
    152,229.75/231,935.25 = 231,935.25/x
  3. Step 3: Cross multiply
    152,229.75x = 231,935.25 × 231,935.25
  4. Step 4: Simplify right side
    152,229.75x = 53,793,960,192.56
  5. Step 5: Solve for x
    x = 53,793,960,192.56/152,229.75
  6. Step 6: Final answer
    x = 353,373.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.