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Finding the Third Proportional to 120,464.75 and 259,096.25

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Solution

The third proportional to 120,464.75 and 259,096.25 is: 557,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,464.75 : 259,096.25 = 259,096.25 : x
  2. Step 2: Convert to fraction form
    120,464.75/259,096.25 = 259,096.25/x
  3. Step 3: Cross multiply
    120,464.75x = 259,096.25 × 259,096.25
  4. Step 4: Simplify right side
    120,464.75x = 67,130,866,764.06
  5. Step 5: Solve for x
    x = 67,130,866,764.06/120,464.75
  6. Step 6: Final answer
    x = 557,265.65

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Why These Related Problems?

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