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Finding the Third Proportional to 99.34 and 205.56

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Solution

The third proportional to 99.34 and 205.56 is: 425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.34 : 205.56 = 205.56 : x
  2. Step 2: Convert to fraction form
    99.34/205.56 = 205.56/x
  3. Step 3: Cross multiply
    99.34x = 205.56 × 205.56
  4. Step 4: Simplify right side
    99.34x = 42,255.94
  5. Step 5: Solve for x
    x = 42,255.94/99.34
  6. Step 6: Final answer
    x = 425.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.