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Finding the Third Proportional to 119,928.75 and 260,998.25

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Solution

The third proportional to 119,928.75 and 260,998.25 is: 568,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,928.75 : 260,998.25 = 260,998.25 : x
  2. Step 2: Convert to fraction form
    119,928.75/260,998.25 = 260,998.25/x
  3. Step 3: Cross multiply
    119,928.75x = 260,998.25 × 260,998.25
  4. Step 4: Simplify right side
    119,928.75x = 68,120,086,503.06
  5. Step 5: Solve for x
    x = 68,120,086,503.06/119,928.75
  6. Step 6: Final answer
    x = 568,004.64

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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.