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Finding the Third Proportional to 166,789.50 and 245,772.75

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Solution

The third proportional to 166,789.50 and 245,772.75 is: 362,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,789.50 : 245,772.75 = 245,772.75 : x
  2. Step 2: Convert to fraction form
    166,789.50/245,772.75 = 245,772.75/x
  3. Step 3: Cross multiply
    166,789.50x = 245,772.75 × 245,772.75
  4. Step 4: Simplify right side
    166,789.50x = 60,404,244,642.56
  5. Step 5: Solve for x
    x = 60,404,244,642.56/166,789.50
  6. Step 6: Final answer
    x = 362,158.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.