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Finding the Third Proportional to 143,268.75 and 302,217.75

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Solution

The third proportional to 143,268.75 and 302,217.75 is: 637,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,268.75 : 302,217.75 = 302,217.75 : x
  2. Step 2: Convert to fraction form
    143,268.75/302,217.75 = 302,217.75/x
  3. Step 3: Cross multiply
    143,268.75x = 302,217.75 × 302,217.75
  4. Step 4: Simplify right side
    143,268.75x = 91,335,568,415.06
  5. Step 5: Solve for x
    x = 91,335,568,415.06/143,268.75
  6. Step 6: Final answer
    x = 637,512.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.