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Finding the Third Proportional to 152,626 and 331,517

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Solution

The third proportional to 152,626 and 331,517 is: 720,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,626 : 331,517 = 331,517 : x
  2. Step 2: Convert to fraction form
    152,626/331,517 = 331,517/x
  3. Step 3: Cross multiply
    152,626x = 331,517 × 331,517
  4. Step 4: Simplify right side
    152,626x = 109,903,521,289
  5. Step 5: Solve for x
    x = 109,903,521,289/152,626
  6. Step 6: Final answer
    x = 720,083.87

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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.