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Finding the Third Proportional to 194,419.69 and 404,359.03

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Solution

The third proportional to 194,419.69 and 404,359.03 is: 840,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,419.69 : 404,359.03 = 404,359.03 : x
  2. Step 2: Convert to fraction form
    194,419.69/404,359.03 = 404,359.03/x
  3. Step 3: Cross multiply
    194,419.69x = 404,359.03 × 404,359.03
  4. Step 4: Simplify right side
    194,419.69x = 163,506,226,153.44
  5. Step 5: Solve for x
    x = 163,506,226,153.44/194,419.69
  6. Step 6: Final answer
    x = 840,996.24

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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.