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Finding the Third Proportional to 119,317 and 167,243

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Solution

The third proportional to 119,317 and 167,243 is: 234,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,317 : 167,243 = 167,243 : x
  2. Step 2: Convert to fraction form
    119,317/167,243 = 167,243/x
  3. Step 3: Cross multiply
    119,317x = 167,243 × 167,243
  4. Step 4: Simplify right side
    119,317x = 27,970,221,049
  5. Step 5: Solve for x
    x = 27,970,221,049/119,317
  6. Step 6: Final answer
    x = 234,419.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.