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Finding the Third Proportional to 107,790.75 and 232,031.25

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Solution

The third proportional to 107,790.75 and 232,031.25 is: 499,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,790.75 : 232,031.25 = 232,031.25 : x
  2. Step 2: Convert to fraction form
    107,790.75/232,031.25 = 232,031.25/x
  3. Step 3: Cross multiply
    107,790.75x = 232,031.25 × 232,031.25
  4. Step 4: Simplify right side
    107,790.75x = 53,838,500,976.56
  5. Step 5: Solve for x
    x = 53,838,500,976.56/107,790.75
  6. Step 6: Final answer
    x = 499,472.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.