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Finding the Third Proportional to 182,562.75 and 266,780.25

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Solution

The third proportional to 182,562.75 and 266,780.25 is: 389,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,562.75 : 266,780.25 = 266,780.25 : x
  2. Step 2: Convert to fraction form
    182,562.75/266,780.25 = 266,780.25/x
  3. Step 3: Cross multiply
    182,562.75x = 266,780.25 × 266,780.25
  4. Step 4: Simplify right side
    182,562.75x = 71,171,701,790.06
  5. Step 5: Solve for x
    x = 71,171,701,790.06/182,562.75
  6. Step 6: Final answer
    x = 389,847.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.