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Finding the Third Proportional to 239,524.88 and 375,744.38

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Solution

The third proportional to 239,524.88 and 375,744.38 is: 589,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,524.88 : 375,744.38 = 375,744.38 : x
  2. Step 2: Convert to fraction form
    239,524.88/375,744.38 = 375,744.38/x
  3. Step 3: Cross multiply
    239,524.88x = 375,744.38 × 375,744.38
  4. Step 4: Simplify right side
    239,524.88x = 141,183,835,344.14
  5. Step 5: Solve for x
    x = 141,183,835,344.14/239,524.88
  6. Step 6: Final answer
    x = 589,432.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.