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Finding the Third Proportional to 112,180 and 167,298

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Solution

The third proportional to 112,180 and 167,298 is: 249,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,180 : 167,298 = 167,298 : x
  2. Step 2: Convert to fraction form
    112,180/167,298 = 167,298/x
  3. Step 3: Cross multiply
    112,180x = 167,298 × 167,298
  4. Step 4: Simplify right side
    112,180x = 27,988,620,804
  5. Step 5: Solve for x
    x = 27,988,620,804/112,180
  6. Step 6: Final answer
    x = 249,497.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.