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Finding the Third Proportional to 185.48 and 396.70

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Solution

The third proportional to 185.48 and 396.70 is: 848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.48 : 396.70 = 396.70 : x
  2. Step 2: Convert to fraction form
    185.48/396.70 = 396.70/x
  3. Step 3: Cross multiply
    185.48x = 396.70 × 396.70
  4. Step 4: Simplify right side
    185.48x = 157,373.37
  5. Step 5: Solve for x
    x = 157,373.37/185.48
  6. Step 6: Final answer
    x = 848.45

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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.