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Finding the Third Proportional to 198,443.25 and 299,511

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Solution

The third proportional to 198,443.25 and 299,511 is: 452,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,443.25 : 299,511 = 299,511 : x
  2. Step 2: Convert to fraction form
    198,443.25/299,511 = 299,511/x
  3. Step 3: Cross multiply
    198,443.25x = 299,511 × 299,511
  4. Step 4: Simplify right side
    198,443.25x = 89,706,839,121
  5. Step 5: Solve for x
    x = 89,706,839,121/198,443.25
  6. Step 6: Final answer
    x = 452,052.86

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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.