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Finding the Third Proportional to 180.98 and 396.35

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Solution

The third proportional to 180.98 and 396.35 is: 868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 396.35 = 396.35 : x
  2. Step 2: Convert to fraction form
    180.98/396.35 = 396.35/x
  3. Step 3: Cross multiply
    180.98x = 396.35 × 396.35
  4. Step 4: Simplify right side
    180.98x = 157,094.56
  5. Step 5: Solve for x
    x = 157,094.56/180.98
  6. Step 6: Final answer
    x = 868.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.