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Finding the Third Proportional to 143,393.73 and 231,352.14

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Solution

The third proportional to 143,393.73 and 231,352.14 is: 373,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,393.73 : 231,352.14 = 231,352.14 : x
  2. Step 2: Convert to fraction form
    143,393.73/231,352.14 = 231,352.14/x
  3. Step 3: Cross multiply
    143,393.73x = 231,352.14 × 231,352.14
  4. Step 4: Simplify right side
    143,393.73x = 53,523,811,164.33
  5. Step 5: Solve for x
    x = 53,523,811,164.33/143,393.73
  6. Step 6: Final answer
    x = 373,264.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.