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Finding the Third Proportional to 194.06 and 285.61

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Solution

The third proportional to 194.06 and 285.61 is: 420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.06 : 285.61 = 285.61 : x
  2. Step 2: Convert to fraction form
    194.06/285.61 = 285.61/x
  3. Step 3: Cross multiply
    194.06x = 285.61 × 285.61
  4. Step 4: Simplify right side
    194.06x = 81,572.72
  5. Step 5: Solve for x
    x = 81,572.72/194.06
  6. Step 6: Final answer
    x = 420.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.