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Finding the Third Proportional to 167,266 and 250,539

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Solution

The third proportional to 167,266 and 250,539 is: 375,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,266 : 250,539 = 250,539 : x
  2. Step 2: Convert to fraction form
    167,266/250,539 = 250,539/x
  3. Step 3: Cross multiply
    167,266x = 250,539 × 250,539
  4. Step 4: Simplify right side
    167,266x = 62,769,790,521
  5. Step 5: Solve for x
    x = 62,769,790,521/167,266
  6. Step 6: Final answer
    x = 375,269.27

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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.