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Finding the Third Proportional to 148,053.38 and 211,007.25

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Solution

The third proportional to 148,053.38 and 211,007.25 is: 300,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,053.38 : 211,007.25 = 211,007.25 : x
  2. Step 2: Convert to fraction form
    148,053.38/211,007.25 = 211,007.25/x
  3. Step 3: Cross multiply
    148,053.38x = 211,007.25 × 211,007.25
  4. Step 4: Simplify right side
    148,053.38x = 44,524,059,552.56
  5. Step 5: Solve for x
    x = 44,524,059,552.56/148,053.38
  6. Step 6: Final answer
    x = 300,729.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.