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Finding the Third Proportional to 152,632 and 331,523

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Solution

The third proportional to 152,632 and 331,523 is: 720,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,632 : 331,523 = 331,523 : x
  2. Step 2: Convert to fraction form
    152,632/331,523 = 331,523/x
  3. Step 3: Cross multiply
    152,632x = 331,523 × 331,523
  4. Step 4: Simplify right side
    152,632x = 109,907,499,529
  5. Step 5: Solve for x
    x = 109,907,499,529/152,632
  6. Step 6: Final answer
    x = 720,081.63

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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.