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Finding the Third Proportional to 166,557.75 and 218,674.13

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Solution

The third proportional to 166,557.75 and 218,674.13 is: 287,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,557.75 : 218,674.13 = 218,674.13 : x
  2. Step 2: Convert to fraction form
    166,557.75/218,674.13 = 218,674.13/x
  3. Step 3: Cross multiply
    166,557.75x = 218,674.13 × 218,674.13
  4. Step 4: Simplify right side
    166,557.75x = 47,818,372,944.52
  5. Step 5: Solve for x
    x = 47,818,372,944.52/166,557.75
  6. Step 6: Final answer
    x = 287,097.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.