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Finding the Third Proportional to 231,499.50 and 307,251

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Solution

The third proportional to 231,499.50 and 307,251 is: 407,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,499.50 : 307,251 = 307,251 : x
  2. Step 2: Convert to fraction form
    231,499.50/307,251 = 307,251/x
  3. Step 3: Cross multiply
    231,499.50x = 307,251 × 307,251
  4. Step 4: Simplify right side
    231,499.50x = 94,403,177,001
  5. Step 5: Solve for x
    x = 94,403,177,001/231,499.50
  6. Step 6: Final answer
    x = 407,789.98

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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.