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Finding the Third Proportional to 198,305.72 and 302,105.95

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Solution

The third proportional to 198,305.72 and 302,105.95 is: 460,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,305.72 : 302,105.95 = 302,105.95 : x
  2. Step 2: Convert to fraction form
    198,305.72/302,105.95 = 302,105.95/x
  3. Step 3: Cross multiply
    198,305.72x = 302,105.95 × 302,105.95
  4. Step 4: Simplify right side
    198,305.72x = 91,268,006,913.56
  5. Step 5: Solve for x
    x = 91,268,006,913.56/198,305.72
  6. Step 6: Final answer
    x = 460,238.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.