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Finding the Third Proportional to 152,832 and 331,920

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Solution

The third proportional to 152,832 and 331,920 is: 720,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,832 : 331,920 = 331,920 : x
  2. Step 2: Convert to fraction form
    152,832/331,920 = 331,920/x
  3. Step 3: Cross multiply
    152,832x = 331,920 × 331,920
  4. Step 4: Simplify right side
    152,832x = 110,170,886,400
  5. Step 5: Solve for x
    x = 110,170,886,400/152,832
  6. Step 6: Final answer
    x = 720,862.69

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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.