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Finding the Third Proportional to 199,624 and 299,436

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Solution

The third proportional to 199,624 and 299,436 is: 449,154

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,624 : 299,436 = 299,436 : x
  2. Step 2: Convert to fraction form
    199,624/299,436 = 299,436/x
  3. Step 3: Cross multiply
    199,624x = 299,436 × 299,436
  4. Step 4: Simplify right side
    199,624x = 89,661,918,096
  5. Step 5: Solve for x
    x = 89,661,918,096/199,624
  6. Step 6: Final answer
    x = 449,154

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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.