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Finding the Third Proportional to 167,908 and 254,322

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Solution

The third proportional to 167,908 and 254,322 is: 385,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,908 : 254,322 = 254,322 : x
  2. Step 2: Convert to fraction form
    167,908/254,322 = 254,322/x
  3. Step 3: Cross multiply
    167,908x = 254,322 × 254,322
  4. Step 4: Simplify right side
    167,908x = 64,679,679,684
  5. Step 5: Solve for x
    x = 64,679,679,684/167,908
  6. Step 6: Final answer
    x = 385,209.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.