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Finding the Third Proportional to 86,197.50 and 200,305.50

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Solution

The third proportional to 86,197.50 and 200,305.50 is: 465,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197.50 : 200,305.50 = 200,305.50 : x
  2. Step 2: Convert to fraction form
    86,197.50/200,305.50 = 200,305.50/x
  3. Step 3: Cross multiply
    86,197.50x = 200,305.50 × 200,305.50
  4. Step 4: Simplify right side
    86,197.50x = 40,122,293,330.25
  5. Step 5: Solve for x
    x = 40,122,293,330.25/86,197.50
  6. Step 6: Final answer
    x = 465,469.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.