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Finding the Third Proportional to 119,297.25 and 259,585.75

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Solution

The third proportional to 119,297.25 and 259,585.75 is: 564,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,297.25 : 259,585.75 = 259,585.75 : x
  2. Step 2: Convert to fraction form
    119,297.25/259,585.75 = 259,585.75/x
  3. Step 3: Cross multiply
    119,297.25x = 259,585.75 × 259,585.75
  4. Step 4: Simplify right side
    119,297.25x = 67,384,761,603.06
  5. Step 5: Solve for x
    x = 67,384,761,603.06/119,297.25
  6. Step 6: Final answer
    x = 564,847.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.