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Finding the Third Proportional to 231,711.75 and 340,050.38

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Solution

The third proportional to 231,711.75 and 340,050.38 is: 499,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,711.75 : 340,050.38 = 340,050.38 : x
  2. Step 2: Convert to fraction form
    231,711.75/340,050.38 = 340,050.38/x
  3. Step 3: Cross multiply
    231,711.75x = 340,050.38 × 340,050.38
  4. Step 4: Simplify right side
    231,711.75x = 115,634,257,537.64
  5. Step 5: Solve for x
    x = 115,634,257,537.64/231,711.75
  6. Step 6: Final answer
    x = 499,043.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.