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Finding the Third Proportional to 194.62 and 302.74

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Solution

The third proportional to 194.62 and 302.74 is: 470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.62 : 302.74 = 302.74 : x
  2. Step 2: Convert to fraction form
    194.62/302.74 = 302.74/x
  3. Step 3: Cross multiply
    194.62x = 302.74 × 302.74
  4. Step 4: Simplify right side
    194.62x = 91,652.39
  5. Step 5: Solve for x
    x = 91,652.39/194.62
  6. Step 6: Final answer
    x = 470.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.