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Finding the Third Proportional to 198,767.25 and 307,091.25

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Solution

The third proportional to 198,767.25 and 307,091.25 is: 474,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,767.25 : 307,091.25 = 307,091.25 : x
  2. Step 2: Convert to fraction form
    198,767.25/307,091.25 = 307,091.25/x
  3. Step 3: Cross multiply
    198,767.25x = 307,091.25 × 307,091.25
  4. Step 4: Simplify right side
    198,767.25x = 94,305,035,826.56
  5. Step 5: Solve for x
    x = 94,305,035,826.56/198,767.25
  6. Step 6: Final answer
    x = 474,449.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.