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Finding the Third Proportional to 171,830 and 250,941

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Solution

The third proportional to 171,830 and 250,941 is: 366,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,830 : 250,941 = 250,941 : x
  2. Step 2: Convert to fraction form
    171,830/250,941 = 250,941/x
  3. Step 3: Cross multiply
    171,830x = 250,941 × 250,941
  4. Step 4: Simplify right side
    171,830x = 62,971,385,481
  5. Step 5: Solve for x
    x = 62,971,385,481/171,830
  6. Step 6: Final answer
    x = 366,474.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.