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Finding the Third Proportional to 156,069 and 233,676

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Solution

The third proportional to 156,069 and 233,676 is: 349,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,069 : 233,676 = 233,676 : x
  2. Step 2: Convert to fraction form
    156,069/233,676 = 233,676/x
  3. Step 3: Cross multiply
    156,069x = 233,676 × 233,676
  4. Step 4: Simplify right side
    156,069x = 54,604,472,976
  5. Step 5: Solve for x
    x = 54,604,472,976/156,069
  6. Step 6: Final answer
    x = 349,873.92

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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.