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Finding the Third Proportional to 152,229.38 and 330,393.94

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Solution

The third proportional to 152,229.38 and 330,393.94 is: 717,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,229.38 : 330,393.94 = 330,393.94 : x
  2. Step 2: Convert to fraction form
    152,229.38/330,393.94 = 330,393.94/x
  3. Step 3: Cross multiply
    152,229.38x = 330,393.94 × 330,393.94
  4. Step 4: Simplify right side
    152,229.38x = 109,160,153,936.75
  5. Step 5: Solve for x
    x = 109,160,153,936.75/152,229.38
  6. Step 6: Final answer
    x = 717,076.81

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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.