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Finding the Third Proportional to 185.98 and 265.64

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Solution

The third proportional to 185.98 and 265.64 is: 379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.98 : 265.64 = 265.64 : x
  2. Step 2: Convert to fraction form
    185.98/265.64 = 265.64/x
  3. Step 3: Cross multiply
    185.98x = 265.64 × 265.64
  4. Step 4: Simplify right side
    185.98x = 70,564.94
  5. Step 5: Solve for x
    x = 70,564.94/185.98
  6. Step 6: Final answer
    x = 379.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.