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Finding the Third Proportional to 195,921.38 and 275,900.38

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Solution

The third proportional to 195,921.38 and 275,900.38 is: 388,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,921.38 : 275,900.38 = 275,900.38 : x
  2. Step 2: Convert to fraction form
    195,921.38/275,900.38 = 275,900.38/x
  3. Step 3: Cross multiply
    195,921.38x = 275,900.38 × 275,900.38
  4. Step 4: Simplify right side
    195,921.38x = 76,121,016,925.14
  5. Step 5: Solve for x
    x = 76,121,016,925.14/195,921.38
  6. Step 6: Final answer
    x = 388,528.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.