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Finding the Third Proportional to 167,231 and 357,142

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Solution

The third proportional to 167,231 and 357,142 is: 762,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,231 : 357,142 = 357,142 : x
  2. Step 2: Convert to fraction form
    167,231/357,142 = 357,142/x
  3. Step 3: Cross multiply
    167,231x = 357,142 × 357,142
  4. Step 4: Simplify right side
    167,231x = 127,550,408,164
  5. Step 5: Solve for x
    x = 127,550,408,164/167,231
  6. Step 6: Final answer
    x = 762,719.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.