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Finding the Third Proportional to 231,499 and 307,249

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Solution

The third proportional to 231,499 and 307,249 is: 407,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,499 : 307,249 = 307,249 : x
  2. Step 2: Convert to fraction form
    231,499/307,249 = 307,249/x
  3. Step 3: Cross multiply
    231,499x = 307,249 × 307,249
  4. Step 4: Simplify right side
    231,499x = 94,401,948,001
  5. Step 5: Solve for x
    x = 94,401,948,001/231,499
  6. Step 6: Final answer
    x = 407,785.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.