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Finding the Third Proportional to 199,339.31 and 300,034.13

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Solution

The third proportional to 199,339.31 and 300,034.13 is: 451,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,339.31 : 300,034.13 = 300,034.13 : x
  2. Step 2: Convert to fraction form
    199,339.31/300,034.13 = 300,034.13/x
  3. Step 3: Cross multiply
    199,339.31x = 300,034.13 × 300,034.13
  4. Step 4: Simplify right side
    199,339.31x = 90,020,476,164.52
  5. Step 5: Solve for x
    x = 90,020,476,164.52/199,339.31
  6. Step 6: Final answer
    x = 451,594.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.