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Finding the Third Proportional to 199,405.71 and 426,836.62

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Solution

The third proportional to 199,405.71 and 426,836.62 is: 913,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,405.71 : 426,836.62 = 426,836.62 : x
  2. Step 2: Convert to fraction form
    199,405.71/426,836.62 = 426,836.62/x
  3. Step 3: Cross multiply
    199,405.71x = 426,836.62 × 426,836.62
  4. Step 4: Simplify right side
    199,405.71x = 182,189,499,439.41
  5. Step 5: Solve for x
    x = 182,189,499,439.41/199,405.71
  6. Step 6: Final answer
    x = 913,662.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.