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Finding the Third Proportional to 271.16 and 593.26

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Solution

The third proportional to 271.16 and 593.26 is: 1,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.16 : 593.26 = 593.26 : x
  2. Step 2: Convert to fraction form
    271.16/593.26 = 593.26/x
  3. Step 3: Cross multiply
    271.16x = 593.26 × 593.26
  4. Step 4: Simplify right side
    271.16x = 351,959.47
  5. Step 5: Solve for x
    x = 351,959.47/271.16
  6. Step 6: Final answer
    x = 1,297.98

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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.