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Finding the Third Proportional to 121,716 and 263,979

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Solution

The third proportional to 121,716 and 263,979 is: 572,520.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,716 : 263,979 = 263,979 : x
  2. Step 2: Convert to fraction form
    121,716/263,979 = 263,979/x
  3. Step 3: Cross multiply
    121,716x = 263,979 × 263,979
  4. Step 4: Simplify right side
    121,716x = 69,684,912,441
  5. Step 5: Solve for x
    x = 69,684,912,441/121,716
  6. Step 6: Final answer
    x = 572,520.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.