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Finding the Third Proportional to 194,410.13 and 404,343.56

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Solution

The third proportional to 194,410.13 and 404,343.56 is: 840,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,410.13 : 404,343.56 = 404,343.56 : x
  2. Step 2: Convert to fraction form
    194,410.13/404,343.56 = 404,343.56/x
  3. Step 3: Cross multiply
    194,410.13x = 404,343.56 × 404,343.56
  4. Step 4: Simplify right side
    194,410.13x = 163,493,716,535.19
  5. Step 5: Solve for x
    x = 163,493,716,535.19/194,410.13
  6. Step 6: Final answer
    x = 840,973.26

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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.