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Finding the Third Proportional to 138,247 and 291,249

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Solution

The third proportional to 138,247 and 291,249 is: 613,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,247 : 291,249 = 291,249 : x
  2. Step 2: Convert to fraction form
    138,247/291,249 = 291,249/x
  3. Step 3: Cross multiply
    138,247x = 291,249 × 291,249
  4. Step 4: Simplify right side
    138,247x = 84,825,980,001
  5. Step 5: Solve for x
    x = 84,825,980,001/138,247
  6. Step 6: Final answer
    x = 613,582.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.