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Finding the Third Proportional to 156,935 and 339,941

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Solution

The third proportional to 156,935 and 339,941 is: 736,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,935 : 339,941 = 339,941 : x
  2. Step 2: Convert to fraction form
    156,935/339,941 = 339,941/x
  3. Step 3: Cross multiply
    156,935x = 339,941 × 339,941
  4. Step 4: Simplify right side
    156,935x = 115,559,883,481
  5. Step 5: Solve for x
    x = 115,559,883,481/156,935
  6. Step 6: Final answer
    x = 736,355.07

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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.