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Finding the Third Proportional to 156,774 and 234,791

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Solution

The third proportional to 156,774 and 234,791 is: 351,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,774 : 234,791 = 234,791 : x
  2. Step 2: Convert to fraction form
    156,774/234,791 = 234,791/x
  3. Step 3: Cross multiply
    156,774x = 234,791 × 234,791
  4. Step 4: Simplify right side
    156,774x = 55,126,813,681
  5. Step 5: Solve for x
    x = 55,126,813,681/156,774
  6. Step 6: Final answer
    x = 351,632.37

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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.