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Finding the Third Proportional to 120,858.75 and 260,934.75

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Solution

The third proportional to 120,858.75 and 260,934.75 is: 563,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858.75 : 260,934.75 = 260,934.75 : x
  2. Step 2: Convert to fraction form
    120,858.75/260,934.75 = 260,934.75/x
  3. Step 3: Cross multiply
    120,858.75x = 260,934.75 × 260,934.75
  4. Step 4: Simplify right side
    120,858.75x = 68,086,943,757.56
  5. Step 5: Solve for x
    x = 68,086,943,757.56/120,858.75
  6. Step 6: Final answer
    x = 563,359.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.