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Finding the Third Proportional to 198,702 and 433,098

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Solution

The third proportional to 198,702 and 433,098 is: 943,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,702 : 433,098 = 433,098 : x
  2. Step 2: Convert to fraction form
    198,702/433,098 = 433,098/x
  3. Step 3: Cross multiply
    198,702x = 433,098 × 433,098
  4. Step 4: Simplify right side
    198,702x = 187,573,877,604
  5. Step 5: Solve for x
    x = 187,573,877,604/198,702
  6. Step 6: Final answer
    x = 943,995.92

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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.