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Finding the Third Proportional to 166,174.31 and 257,797.13

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Solution

The third proportional to 166,174.31 and 257,797.13 is: 399,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,174.31 : 257,797.13 = 257,797.13 : x
  2. Step 2: Convert to fraction form
    166,174.31/257,797.13 = 257,797.13/x
  3. Step 3: Cross multiply
    166,174.31x = 257,797.13 × 257,797.13
  4. Step 4: Simplify right side
    166,174.31x = 66,459,357,658.27
  5. Step 5: Solve for x
    x = 66,459,357,658.27/166,174.31
  6. Step 6: Final answer
    x = 399,937.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.