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Finding the Third Proportional to 166,675 and 254,112

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Solution

The third proportional to 166,675 and 254,112 is: 387,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,675 : 254,112 = 254,112 : x
  2. Step 2: Convert to fraction form
    166,675/254,112 = 254,112/x
  3. Step 3: Cross multiply
    166,675x = 254,112 × 254,112
  4. Step 4: Simplify right side
    166,675x = 64,572,908,544
  5. Step 5: Solve for x
    x = 64,572,908,544/166,675
  6. Step 6: Final answer
    x = 387,418.08

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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.