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Finding the Third Proportional to 152,624.25 and 331,521.75

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Solution

The third proportional to 152,624.25 and 331,521.75 is: 720,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,624.25 : 331,521.75 = 331,521.75 : x
  2. Step 2: Convert to fraction form
    152,624.25/331,521.75 = 331,521.75/x
  3. Step 3: Cross multiply
    152,624.25x = 331,521.75 × 331,521.75
  4. Step 4: Simplify right side
    152,624.25x = 109,906,670,723.06
  5. Step 5: Solve for x
    x = 109,906,670,723.06/152,624.25
  6. Step 6: Final answer
    x = 720,112.77

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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.