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Finding the Third Proportional to 152,616 and 331,500

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Solution

The third proportional to 152,616 and 331,500 is: 720,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,616 : 331,500 = 331,500 : x
  2. Step 2: Convert to fraction form
    152,616/331,500 = 331,500/x
  3. Step 3: Cross multiply
    152,616x = 331,500 × 331,500
  4. Step 4: Simplify right side
    152,616x = 109,892,250,000
  5. Step 5: Solve for x
    x = 109,892,250,000/152,616
  6. Step 6: Final answer
    x = 720,057.20

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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.