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Finding the Third Proportional to 107,487.50 and 227,780

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Solution

The third proportional to 107,487.50 and 227,780 is: 482,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,487.50 : 227,780 = 227,780 : x
  2. Step 2: Convert to fraction form
    107,487.50/227,780 = 227,780/x
  3. Step 3: Cross multiply
    107,487.50x = 227,780 × 227,780
  4. Step 4: Simplify right side
    107,487.50x = 51,883,728,400
  5. Step 5: Solve for x
    x = 51,883,728,400/107,487.50
  6. Step 6: Final answer
    x = 482,695.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.