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Finding the Third Proportional to 167,320.13 and 326,233.13

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Solution

The third proportional to 167,320.13 and 326,233.13 is: 636,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,320.13 : 326,233.13 = 326,233.13 : x
  2. Step 2: Convert to fraction form
    167,320.13/326,233.13 = 326,233.13/x
  3. Step 3: Cross multiply
    167,320.13x = 326,233.13 × 326,233.13
  4. Step 4: Simplify right side
    167,320.13x = 106,428,051,847.27
  5. Step 5: Solve for x
    x = 106,428,051,847.27/167,320.13
  6. Step 6: Final answer
    x = 636,074.42

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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.