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Finding the Third Proportional to 135,362.25 and 198,426.38

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Solution

The third proportional to 135,362.25 and 198,426.38 is: 290,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,362.25 : 198,426.38 = 198,426.38 : x
  2. Step 2: Convert to fraction form
    135,362.25/198,426.38 = 198,426.38/x
  3. Step 3: Cross multiply
    135,362.25x = 198,426.38 × 198,426.38
  4. Step 4: Simplify right side
    135,362.25x = 39,373,026,295.64
  5. Step 5: Solve for x
    x = 39,373,026,295.64/135,362.25
  6. Step 6: Final answer
    x = 290,871.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.