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Finding the Third Proportional to 156,437 and 234,660

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Solution

The third proportional to 156,437 and 234,660 is: 351,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,437 : 234,660 = 234,660 : x
  2. Step 2: Convert to fraction form
    156,437/234,660 = 234,660/x
  3. Step 3: Cross multiply
    156,437x = 234,660 × 234,660
  4. Step 4: Simplify right side
    156,437x = 55,065,315,600
  5. Step 5: Solve for x
    x = 55,065,315,600/156,437
  6. Step 6: Final answer
    x = 351,996.75

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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.