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Finding the Third Proportional to 1,208.67 and 1,928.18

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Solution

The third proportional to 1,208.67 and 1,928.18 is: 3,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.67 : 1,928.18 = 1,928.18 : x
  2. Step 2: Convert to fraction form
    1,208.67/1,928.18 = 1,928.18/x
  3. Step 3: Cross multiply
    1,208.67x = 1,928.18 × 1,928.18
  4. Step 4: Simplify right side
    1,208.67x = 3,717,876.91
  5. Step 5: Solve for x
    x = 3,717,876.91/1,208.67
  6. Step 6: Final answer
    x = 3,076.00

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.