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Finding the Third Proportional to 156,785 and 344,785

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Solution

The third proportional to 156,785 and 344,785 is: 758,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,785 : 344,785 = 344,785 : x
  2. Step 2: Convert to fraction form
    156,785/344,785 = 344,785/x
  3. Step 3: Cross multiply
    156,785x = 344,785 × 344,785
  4. Step 4: Simplify right side
    156,785x = 118,876,696,225
  5. Step 5: Solve for x
    x = 118,876,696,225/156,785
  6. Step 6: Final answer
    x = 758,214.73

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Why These Related Problems?

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