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Finding the Third Proportional to 198,496 and 297,780

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Solution

The third proportional to 198,496 and 297,780 is: 446,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,496 : 297,780 = 297,780 : x
  2. Step 2: Convert to fraction form
    198,496/297,780 = 297,780/x
  3. Step 3: Cross multiply
    198,496x = 297,780 × 297,780
  4. Step 4: Simplify right side
    198,496x = 88,672,928,400
  5. Step 5: Solve for x
    x = 88,672,928,400/198,496
  6. Step 6: Final answer
    x = 446,724.01

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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.