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Finding the Third Proportional to 191.42 and 414.07

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Solution

The third proportional to 191.42 and 414.07 is: 895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.42 : 414.07 = 414.07 : x
  2. Step 2: Convert to fraction form
    191.42/414.07 = 414.07/x
  3. Step 3: Cross multiply
    191.42x = 414.07 × 414.07
  4. Step 4: Simplify right side
    191.42x = 171,451.49
  5. Step 5: Solve for x
    x = 171,451.49/191.42
  6. Step 6: Final answer
    x = 895.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.