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Finding the Third Proportional to 239,952.38 and 525,102.75

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Solution

The third proportional to 239,952.38 and 525,102.75 is: 1,149,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,952.38 : 525,102.75 = 525,102.75 : x
  2. Step 2: Convert to fraction form
    239,952.38/525,102.75 = 525,102.75/x
  3. Step 3: Cross multiply
    239,952.38x = 525,102.75 × 525,102.75
  4. Step 4: Simplify right side
    239,952.38x = 275,732,898,057.56
  5. Step 5: Solve for x
    x = 275,732,898,057.56/239,952.38
  6. Step 6: Final answer
    x = 1,149,115.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.