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Finding the Third Proportional to 187.88 and 294.84

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Solution

The third proportional to 187.88 and 294.84 is: 462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 294.84 = 294.84 : x
  2. Step 2: Convert to fraction form
    187.88/294.84 = 294.84/x
  3. Step 3: Cross multiply
    187.88x = 294.84 × 294.84
  4. Step 4: Simplify right side
    187.88x = 86,932.84
  5. Step 5: Solve for x
    x = 86,932.84/187.88
  6. Step 6: Final answer
    x = 462.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.