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Finding the Third Proportional to 194,419.20 and 404,358.12

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Solution

The third proportional to 194,419.20 and 404,358.12 is: 840,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,419.20 : 404,358.12 = 404,358.12 : x
  2. Step 2: Convert to fraction form
    194,419.20/404,358.12 = 404,358.12/x
  3. Step 3: Cross multiply
    194,419.20x = 404,358.12 × 404,358.12
  4. Step 4: Simplify right side
    194,419.20x = 163,505,486,935.42
  5. Step 5: Solve for x
    x = 163,505,486,935.42/194,419.20
  6. Step 6: Final answer
    x = 840,994.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.