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Finding the Third Proportional to 131.98 and 206.89

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Solution

The third proportional to 131.98 and 206.89 is: 324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.98 : 206.89 = 206.89 : x
  2. Step 2: Convert to fraction form
    131.98/206.89 = 206.89/x
  3. Step 3: Cross multiply
    131.98x = 206.89 × 206.89
  4. Step 4: Simplify right side
    131.98x = 42,805.35
  5. Step 5: Solve for x
    x = 42,805.35/131.98
  6. Step 6: Final answer
    x = 324.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.