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Finding the Third Proportional to 156,785 and 343,593

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Solution

The third proportional to 156,785 and 343,593 is: 752,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,785 : 343,593 = 343,593 : x
  2. Step 2: Convert to fraction form
    156,785/343,593 = 343,593/x
  3. Step 3: Cross multiply
    156,785x = 343,593 × 343,593
  4. Step 4: Simplify right side
    156,785x = 118,056,149,649
  5. Step 5: Solve for x
    x = 118,056,149,649/156,785
  6. Step 6: Final answer
    x = 752,981.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.