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Finding the Third Proportional to 206,474.06 and 302,887.69

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Solution

The third proportional to 206,474.06 and 302,887.69 is: 444,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,474.06 : 302,887.69 = 302,887.69 : x
  2. Step 2: Convert to fraction form
    206,474.06/302,887.69 = 302,887.69/x
  3. Step 3: Cross multiply
    206,474.06x = 302,887.69 × 302,887.69
  4. Step 4: Simplify right side
    206,474.06x = 91,740,951,239.10
  5. Step 5: Solve for x
    x = 91,740,951,239.10/206,474.06
  6. Step 6: Final answer
    x = 444,321.92

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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.