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Finding the Third Proportional to 248 and 537.63

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Solution

The third proportional to 248 and 537.63 is: 1,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248 : 537.63 = 537.63 : x
  2. Step 2: Convert to fraction form
    248/537.63 = 537.63/x
  3. Step 3: Cross multiply
    248x = 537.63 × 537.63
  4. Step 4: Simplify right side
    248x = 289,040.64
  5. Step 5: Solve for x
    x = 289,040.64/248
  6. Step 6: Final answer
    x = 1,165.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.