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Finding the Third Proportional to 182,560.50 and 266,776.88

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Solution

The third proportional to 182,560.50 and 266,776.88 is: 389,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,560.50 : 266,776.88 = 266,776.88 : x
  2. Step 2: Convert to fraction form
    182,560.50/266,776.88 = 266,776.88/x
  3. Step 3: Cross multiply
    182,560.50x = 266,776.88 × 266,776.88
  4. Step 4: Simplify right side
    182,560.50x = 71,169,901,034.77
  5. Step 5: Solve for x
    x = 71,169,901,034.77/182,560.50
  6. Step 6: Final answer
    x = 389,842.82

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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.