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Finding the Third Proportional to 69,382 and 151,604.75

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Solution

The third proportional to 69,382 and 151,604.75 is: 331,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,382 : 151,604.75 = 151,604.75 : x
  2. Step 2: Convert to fraction form
    69,382/151,604.75 = 151,604.75/x
  3. Step 3: Cross multiply
    69,382x = 151,604.75 × 151,604.75
  4. Step 4: Simplify right side
    69,382x = 22,984,000,222.56
  5. Step 5: Solve for x
    x = 22,984,000,222.56/69,382
  6. Step 6: Final answer
    x = 331,267.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.