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Finding the Third Proportional to 87.94 and 188.48

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Solution

The third proportional to 87.94 and 188.48 is: 404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.94 : 188.48 = 188.48 : x
  2. Step 2: Convert to fraction form
    87.94/188.48 = 188.48/x
  3. Step 3: Cross multiply
    87.94x = 188.48 × 188.48
  4. Step 4: Simplify right side
    87.94x = 35,526.36
  5. Step 5: Solve for x
    x = 35,526.36/87.94
  6. Step 6: Final answer
    x = 404.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.