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Finding the Third Proportional to 156,661 and 234,403

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Solution

The third proportional to 156,661 and 234,403 is: 350,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,661 : 234,403 = 234,403 : x
  2. Step 2: Convert to fraction form
    156,661/234,403 = 234,403/x
  3. Step 3: Cross multiply
    156,661x = 234,403 × 234,403
  4. Step 4: Simplify right side
    156,661x = 54,944,766,409
  5. Step 5: Solve for x
    x = 54,944,766,409/156,661
  6. Step 6: Final answer
    x = 350,723.96

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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.