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Finding the Third Proportional to 76,258 and 167,276

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Solution

The third proportional to 76,258 and 167,276 is: 366,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,258 : 167,276 = 167,276 : x
  2. Step 2: Convert to fraction form
    76,258/167,276 = 167,276/x
  3. Step 3: Cross multiply
    76,258x = 167,276 × 167,276
  4. Step 4: Simplify right side
    76,258x = 27,981,260,176
  5. Step 5: Solve for x
    x = 27,981,260,176/76,258
  6. Step 6: Final answer
    x = 366,928.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.