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Finding the Third Proportional to 87,698.25 and 193,270.50

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Solution

The third proportional to 87,698.25 and 193,270.50 is: 425,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,698.25 : 193,270.50 = 193,270.50 : x
  2. Step 2: Convert to fraction form
    87,698.25/193,270.50 = 193,270.50/x
  3. Step 3: Cross multiply
    87,698.25x = 193,270.50 × 193,270.50
  4. Step 4: Simplify right side
    87,698.25x = 37,353,486,170.25
  5. Step 5: Solve for x
    x = 37,353,486,170.25/87,698.25
  6. Step 6: Final answer
    x = 425,931.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.