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Finding the Third Proportional to 156,768 and 234,782

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Solution

The third proportional to 156,768 and 234,782 is: 351,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,768 : 234,782 = 234,782 : x
  2. Step 2: Convert to fraction form
    156,768/234,782 = 234,782/x
  3. Step 3: Cross multiply
    156,768x = 234,782 × 234,782
  4. Step 4: Simplify right side
    156,768x = 55,122,587,524
  5. Step 5: Solve for x
    x = 55,122,587,524/156,768
  6. Step 6: Final answer
    x = 351,618.87

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