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Finding the Third Proportional to 156,800 and 344,814

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Solution

The third proportional to 156,800 and 344,814 is: 758,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,800 : 344,814 = 344,814 : x
  2. Step 2: Convert to fraction form
    156,800/344,814 = 344,814/x
  3. Step 3: Cross multiply
    156,800x = 344,814 × 344,814
  4. Step 4: Simplify right side
    156,800x = 118,896,694,596
  5. Step 5: Solve for x
    x = 118,896,694,596/156,800
  6. Step 6: Final answer
    x = 758,269.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.