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Finding the Third Proportional to 86 and 190

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Solution

The third proportional to 86 and 190 is: 419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86 : 190 = 190 : x
  2. Step 2: Convert to fraction form
    86/190 = 190/x
  3. Step 3: Cross multiply
    86x = 190 × 190
  4. Step 4: Simplify right side
    86x = 36,100
  5. Step 5: Solve for x
    x = 36,100/86
  6. Step 6: Final answer
    x = 419.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.