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Finding the Third Proportional to 198,910 and 432,800

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Solution

The third proportional to 198,910 and 432,800 is: 941,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,910 : 432,800 = 432,800 : x
  2. Step 2: Convert to fraction form
    198,910/432,800 = 432,800/x
  3. Step 3: Cross multiply
    198,910x = 432,800 × 432,800
  4. Step 4: Simplify right side
    198,910x = 187,315,840,000
  5. Step 5: Solve for x
    x = 187,315,840,000/198,910
  6. Step 6: Final answer
    x = 941,711.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.