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Finding the Third Proportional to 194.13 and 405.88

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Solution

The third proportional to 194.13 and 405.88 is: 848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.13 : 405.88 = 405.88 : x
  2. Step 2: Convert to fraction form
    194.13/405.88 = 405.88/x
  3. Step 3: Cross multiply
    194.13x = 405.88 × 405.88
  4. Step 4: Simplify right side
    194.13x = 164,734.52
  5. Step 5: Solve for x
    x = 164,734.52/194.13
  6. Step 6: Final answer
    x = 848.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.