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Finding the Third Proportional to 194.34 and 415.59

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Solution

The third proportional to 194.34 and 415.59 is: 888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.34 : 415.59 = 415.59 : x
  2. Step 2: Convert to fraction form
    194.34/415.59 = 415.59/x
  3. Step 3: Cross multiply
    194.34x = 415.59 × 415.59
  4. Step 4: Simplify right side
    194.34x = 172,718.17
  5. Step 5: Solve for x
    x = 172,718.17/194.34
  6. Step 6: Final answer
    x = 888.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.