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Finding the Third Proportional to 231,882.75 and 330,814.13

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Solution

The third proportional to 231,882.75 and 330,814.13 is: 471,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,882.75 : 330,814.13 = 330,814.13 : x
  2. Step 2: Convert to fraction form
    231,882.75/330,814.13 = 330,814.13/x
  3. Step 3: Cross multiply
    231,882.75x = 330,814.13 × 330,814.13
  4. Step 4: Simplify right side
    231,882.75x = 109,437,985,299.52
  5. Step 5: Solve for x
    x = 109,437,985,299.52/231,882.75
  6. Step 6: Final answer
    x = 471,953.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.