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Finding the Third Proportional to 198,496 and 297,784

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Solution

The third proportional to 198,496 and 297,784 is: 446,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,496 : 297,784 = 297,784 : x
  2. Step 2: Convert to fraction form
    198,496/297,784 = 297,784/x
  3. Step 3: Cross multiply
    198,496x = 297,784 × 297,784
  4. Step 4: Simplify right side
    198,496x = 88,675,310,656
  5. Step 5: Solve for x
    x = 88,675,310,656/198,496
  6. Step 6: Final answer
    x = 446,736.01

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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.