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Finding the Third Proportional to 167,972 and 254,624

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Solution

The third proportional to 167,972 and 254,624 is: 385,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,972 : 254,624 = 254,624 : x
  2. Step 2: Convert to fraction form
    167,972/254,624 = 254,624/x
  3. Step 3: Cross multiply
    167,972x = 254,624 × 254,624
  4. Step 4: Simplify right side
    167,972x = 64,833,381,376
  5. Step 5: Solve for x
    x = 64,833,381,376/167,972
  6. Step 6: Final answer
    x = 385,977.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.