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Finding the Third Proportional to 167,214 and 357,108

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Solution

The third proportional to 167,214 and 357,108 is: 762,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,214 : 357,108 = 357,108 : x
  2. Step 2: Convert to fraction form
    167,214/357,108 = 357,108/x
  3. Step 3: Cross multiply
    167,214x = 357,108 × 357,108
  4. Step 4: Simplify right side
    167,214x = 127,526,123,664
  5. Step 5: Solve for x
    x = 127,526,123,664/167,214
  6. Step 6: Final answer
    x = 762,652.19

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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.