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Finding the Third Proportional to 120,228.75 and 258,561

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Solution

The third proportional to 120,228.75 and 258,561 is: 556,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,228.75 : 258,561 = 258,561 : x
  2. Step 2: Convert to fraction form
    120,228.75/258,561 = 258,561/x
  3. Step 3: Cross multiply
    120,228.75x = 258,561 × 258,561
  4. Step 4: Simplify right side
    120,228.75x = 66,853,790,721
  5. Step 5: Solve for x
    x = 66,853,790,721/120,228.75
  6. Step 6: Final answer
    x = 556,054.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.