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Finding the Third Proportional to 199,502 and 299,452

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Solution

The third proportional to 199,502 and 299,452 is: 449,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,502 : 299,452 = 299,452 : x
  2. Step 2: Convert to fraction form
    199,502/299,452 = 299,452/x
  3. Step 3: Cross multiply
    199,502x = 299,452 × 299,452
  4. Step 4: Simplify right side
    199,502x = 89,671,500,304
  5. Step 5: Solve for x
    x = 89,671,500,304/199,502
  6. Step 6: Final answer
    x = 449,476.70

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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.