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Finding the Third Proportional to 271.31 and 529.08

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Solution

The third proportional to 271.31 and 529.08 is: 1,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.31 : 529.08 = 529.08 : x
  2. Step 2: Convert to fraction form
    271.31/529.08 = 529.08/x
  3. Step 3: Cross multiply
    271.31x = 529.08 × 529.08
  4. Step 4: Simplify right side
    271.31x = 279,923.66
  5. Step 5: Solve for x
    x = 279,923.66/271.31
  6. Step 6: Final answer
    x = 1,031.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.