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Finding the Third Proportional to 156,962 and 339,195

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Solution

The third proportional to 156,962 and 339,195 is: 733,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,962 : 339,195 = 339,195 : x
  2. Step 2: Convert to fraction form
    156,962/339,195 = 339,195/x
  3. Step 3: Cross multiply
    156,962x = 339,195 × 339,195
  4. Step 4: Simplify right side
    156,962x = 115,053,248,025
  5. Step 5: Solve for x
    x = 115,053,248,025/156,962
  6. Step 6: Final answer
    x = 733,000.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.