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Finding the Third Proportional to 191 and 414.88

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Solution

The third proportional to 191 and 414.88 is: 901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191 : 414.88 = 414.88 : x
  2. Step 2: Convert to fraction form
    191/414.88 = 414.88/x
  3. Step 3: Cross multiply
    191x = 414.88 × 414.88
  4. Step 4: Simplify right side
    191x = 172,121.27
  5. Step 5: Solve for x
    x = 172,121.27/191
  6. Step 6: Final answer
    x = 901.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.