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Finding the Third Proportional to 156,788 and 234,812

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Solution

The third proportional to 156,788 and 234,812 is: 351,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,788 : 234,812 = 234,812 : x
  2. Step 2: Convert to fraction form
    156,788/234,812 = 234,812/x
  3. Step 3: Cross multiply
    156,788x = 234,812 × 234,812
  4. Step 4: Simplify right side
    156,788x = 55,136,675,344
  5. Step 5: Solve for x
    x = 55,136,675,344/156,788
  6. Step 6: Final answer
    x = 351,663.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.