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Finding the Third Proportional to 197,443.50 and 288,759

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Solution

The third proportional to 197,443.50 and 288,759 is: 422,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,443.50 : 288,759 = 288,759 : x
  2. Step 2: Convert to fraction form
    197,443.50/288,759 = 288,759/x
  3. Step 3: Cross multiply
    197,443.50x = 288,759 × 288,759
  4. Step 4: Simplify right side
    197,443.50x = 83,381,760,081
  5. Step 5: Solve for x
    x = 83,381,760,081/197,443.50
  6. Step 6: Final answer
    x = 422,306.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.