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Finding the Third Proportional to 252.50 and 509.38

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Solution

The third proportional to 252.50 and 509.38 is: 1,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.50 : 509.38 = 509.38 : x
  2. Step 2: Convert to fraction form
    252.50/509.38 = 509.38/x
  3. Step 3: Cross multiply
    252.50x = 509.38 × 509.38
  4. Step 4: Simplify right side
    252.50x = 259,462.89
  5. Step 5: Solve for x
    x = 259,462.89/252.50
  6. Step 6: Final answer
    x = 1,027.58

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.