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Finding the Third Proportional to 156,944 and 343,048

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Solution

The third proportional to 156,944 and 343,048 is: 749,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,944 : 343,048 = 343,048 : x
  2. Step 2: Convert to fraction form
    156,944/343,048 = 343,048/x
  3. Step 3: Cross multiply
    156,944x = 343,048 × 343,048
  4. Step 4: Simplify right side
    156,944x = 117,681,930,304
  5. Step 5: Solve for x
    x = 117,681,930,304/156,944
  6. Step 6: Final answer
    x = 749,833.89

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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.