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Finding the Third Proportional to 252.38 and 535.31

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Solution

The third proportional to 252.38 and 535.31 is: 1,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.38 : 535.31 = 535.31 : x
  2. Step 2: Convert to fraction form
    252.38/535.31 = 535.31/x
  3. Step 3: Cross multiply
    252.38x = 535.31 × 535.31
  4. Step 4: Simplify right side
    252.38x = 286,559.47
  5. Step 5: Solve for x
    x = 286,559.47/252.38
  6. Step 6: Final answer
    x = 1,135.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.