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Finding the Third Proportional to 98.34 and 211.59

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Solution

The third proportional to 98.34 and 211.59 is: 455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.34 : 211.59 = 211.59 : x
  2. Step 2: Convert to fraction form
    98.34/211.59 = 211.59/x
  3. Step 3: Cross multiply
    98.34x = 211.59 × 211.59
  4. Step 4: Simplify right side
    98.34x = 44,771.92
  5. Step 5: Solve for x
    x = 44,771.92/98.34
  6. Step 6: Final answer
    x = 455.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.