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Finding the Third Proportional to 119,327 and 167,258

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Solution

The third proportional to 119,327 and 167,258 is: 234,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,327 : 167,258 = 167,258 : x
  2. Step 2: Convert to fraction form
    119,327/167,258 = 167,258/x
  3. Step 3: Cross multiply
    119,327x = 167,258 × 167,258
  4. Step 4: Simplify right side
    119,327x = 27,975,238,564
  5. Step 5: Solve for x
    x = 27,975,238,564/119,327
  6. Step 6: Final answer
    x = 234,441.82

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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.