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Finding the Third Proportional to 188.97 and 291.88

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Solution

The third proportional to 188.97 and 291.88 is: 450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.97 : 291.88 = 291.88 : x
  2. Step 2: Convert to fraction form
    188.97/291.88 = 291.88/x
  3. Step 3: Cross multiply
    188.97x = 291.88 × 291.88
  4. Step 4: Simplify right side
    188.97x = 85,196.72
  5. Step 5: Solve for x
    x = 85,196.72/188.97
  6. Step 6: Final answer
    x = 450.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.