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Finding the Third Proportional to 168,441 and 363,597

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Solution

The third proportional to 168,441 and 363,597 is: 784,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,441 : 363,597 = 363,597 : x
  2. Step 2: Convert to fraction form
    168,441/363,597 = 363,597/x
  3. Step 3: Cross multiply
    168,441x = 363,597 × 363,597
  4. Step 4: Simplify right side
    168,441x = 132,202,778,409
  5. Step 5: Solve for x
    x = 132,202,778,409/168,441
  6. Step 6: Final answer
    x = 784,861.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.