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Finding the Third Proportional to 198,550 and 297,865

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Solution

The third proportional to 198,550 and 297,865 is: 446,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,550 : 297,865 = 297,865 : x
  2. Step 2: Convert to fraction form
    198,550/297,865 = 297,865/x
  3. Step 3: Cross multiply
    198,550x = 297,865 × 297,865
  4. Step 4: Simplify right side
    198,550x = 88,723,558,225
  5. Step 5: Solve for x
    x = 88,723,558,225/198,550
  6. Step 6: Final answer
    x = 446,857.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.