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Finding the Third Proportional to 149,717 and 327,196

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Solution

The third proportional to 149,717 and 327,196 is: 715,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,717 : 327,196 = 327,196 : x
  2. Step 2: Convert to fraction form
    149,717/327,196 = 327,196/x
  3. Step 3: Cross multiply
    149,717x = 327,196 × 327,196
  4. Step 4: Simplify right side
    149,717x = 107,057,222,416
  5. Step 5: Solve for x
    x = 107,057,222,416/149,717
  6. Step 6: Final answer
    x = 715,063.90

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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.