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Finding the Third Proportional to 107,790.50 and 226,743

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Solution

The third proportional to 107,790.50 and 226,743 is: 476,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,790.50 : 226,743 = 226,743 : x
  2. Step 2: Convert to fraction form
    107,790.50/226,743 = 226,743/x
  3. Step 3: Cross multiply
    107,790.50x = 226,743 × 226,743
  4. Step 4: Simplify right side
    107,790.50x = 51,412,388,049
  5. Step 5: Solve for x
    x = 51,412,388,049/107,790.50
  6. Step 6: Final answer
    x = 476,965.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.