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Finding the Third Proportional to 198,704 and 433,102

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Solution

The third proportional to 198,704 and 433,102 is: 944,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,704 : 433,102 = 433,102 : x
  2. Step 2: Convert to fraction form
    198,704/433,102 = 433,102/x
  3. Step 3: Cross multiply
    198,704x = 433,102 × 433,102
  4. Step 4: Simplify right side
    198,704x = 187,577,342,404
  5. Step 5: Solve for x
    x = 187,577,342,404/198,704
  6. Step 6: Final answer
    x = 944,003.86

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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.