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Finding the Third Proportional to 199,541 and 299,302

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Solution

The third proportional to 199,541 and 299,302 is: 448,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,541 : 299,302 = 299,302 : x
  2. Step 2: Convert to fraction form
    199,541/299,302 = 299,302/x
  3. Step 3: Cross multiply
    199,541x = 299,302 × 299,302
  4. Step 4: Simplify right side
    199,541x = 89,581,687,204
  5. Step 5: Solve for x
    x = 89,581,687,204/199,541
  6. Step 6: Final answer
    x = 448,938.75

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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.