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Finding the Third Proportional to 198,418.50 and 427,941

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Solution

The third proportional to 198,418.50 and 427,941 is: 922,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,418.50 : 427,941 = 427,941 : x
  2. Step 2: Convert to fraction form
    198,418.50/427,941 = 427,941/x
  3. Step 3: Cross multiply
    198,418.50x = 427,941 × 427,941
  4. Step 4: Simplify right side
    198,418.50x = 183,133,499,481
  5. Step 5: Solve for x
    x = 183,133,499,481/198,418.50
  6. Step 6: Final answer
    x = 922,965.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.