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Finding the Third Proportional to 152,975.38 and 331,375.13

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Solution

The third proportional to 152,975.38 and 331,375.13 is: 717,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,975.38 : 331,375.13 = 331,375.13 : x
  2. Step 2: Convert to fraction form
    152,975.38/331,375.13 = 331,375.13/x
  3. Step 3: Cross multiply
    152,975.38x = 331,375.13 × 331,375.13
  4. Step 4: Simplify right side
    152,975.38x = 109,809,473,468.77
  5. Step 5: Solve for x
    x = 109,809,473,468.77/152,975.38
  6. Step 6: Final answer
    x = 717,824.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.