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Finding the Third Proportional to 168,354 and 363,414.38

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Solution

The third proportional to 168,354 and 363,414.38 is: 784,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,354 : 363,414.38 = 363,414.38 : x
  2. Step 2: Convert to fraction form
    168,354/363,414.38 = 363,414.38/x
  3. Step 3: Cross multiply
    168,354x = 363,414.38 × 363,414.38
  4. Step 4: Simplify right side
    168,354x = 132,070,007,956.64
  5. Step 5: Solve for x
    x = 132,070,007,956.64/168,354
  6. Step 6: Final answer
    x = 784,477.99

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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.