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Finding the Third Proportional to 166,952 and 250,500

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Solution

The third proportional to 166,952 and 250,500 is: 375,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,952 : 250,500 = 250,500 : x
  2. Step 2: Convert to fraction form
    166,952/250,500 = 250,500/x
  3. Step 3: Cross multiply
    166,952x = 250,500 × 250,500
  4. Step 4: Simplify right side
    166,952x = 62,750,250,000
  5. Step 5: Solve for x
    x = 62,750,250,000/166,952
  6. Step 6: Final answer
    x = 375,858.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.