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Finding the Third Proportional to 167,830 and 327,134

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Solution

The third proportional to 167,830 and 327,134 is: 637,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,830 : 327,134 = 327,134 : x
  2. Step 2: Convert to fraction form
    167,830/327,134 = 327,134/x
  3. Step 3: Cross multiply
    167,830x = 327,134 × 327,134
  4. Step 4: Simplify right side
    167,830x = 107,016,653,956
  5. Step 5: Solve for x
    x = 107,016,653,956/167,830
  6. Step 6: Final answer
    x = 637,649.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.