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Finding the Third Proportional to 156,969 and 343,079

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Solution

The third proportional to 156,969 and 343,079 is: 749,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,969 : 343,079 = 343,079 : x
  2. Step 2: Convert to fraction form
    156,969/343,079 = 343,079/x
  3. Step 3: Cross multiply
    156,969x = 343,079 × 343,079
  4. Step 4: Simplify right side
    156,969x = 117,703,200,241
  5. Step 5: Solve for x
    x = 117,703,200,241/156,969
  6. Step 6: Final answer
    x = 749,849.97

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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.