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Finding the Third Proportional to 199,452 and 299,382

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Solution

The third proportional to 199,452 and 299,382 is: 449,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,452 : 299,382 = 299,382 : x
  2. Step 2: Convert to fraction form
    199,452/299,382 = 299,382/x
  3. Step 3: Cross multiply
    199,452x = 299,382 × 299,382
  4. Step 4: Simplify right side
    199,452x = 89,629,581,924
  5. Step 5: Solve for x
    x = 89,629,581,924/199,452
  6. Step 6: Final answer
    x = 449,379.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.