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Finding the Third Proportional to 156,940 and 339,948

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Solution

The third proportional to 156,940 and 339,948 is: 736,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,940 : 339,948 = 339,948 : x
  2. Step 2: Convert to fraction form
    156,940/339,948 = 339,948/x
  3. Step 3: Cross multiply
    156,940x = 339,948 × 339,948
  4. Step 4: Simplify right side
    156,940x = 115,564,642,704
  5. Step 5: Solve for x
    x = 115,564,642,704/156,940
  6. Step 6: Final answer
    x = 736,361.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.