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Finding the Third Proportional to 198,086 and 433,600

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Solution

The third proportional to 198,086 and 433,600 is: 949,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,086 : 433,600 = 433,600 : x
  2. Step 2: Convert to fraction form
    198,086/433,600 = 433,600/x
  3. Step 3: Cross multiply
    198,086x = 433,600 × 433,600
  4. Step 4: Simplify right side
    198,086x = 188,008,960,000
  5. Step 5: Solve for x
    x = 188,008,960,000/198,086
  6. Step 6: Final answer
    x = 949,127.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.