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Finding the Third Proportional to 191.18 and 414.77

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Solution

The third proportional to 191.18 and 414.77 is: 899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.18 : 414.77 = 414.77 : x
  2. Step 2: Convert to fraction form
    191.18/414.77 = 414.77/x
  3. Step 3: Cross multiply
    191.18x = 414.77 × 414.77
  4. Step 4: Simplify right side
    191.18x = 172,037.00
  5. Step 5: Solve for x
    x = 172,037.00/191.18
  6. Step 6: Final answer
    x = 899.87

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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.