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Finding the Third Proportional to 248 and 586.38

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Solution

The third proportional to 248 and 586.38 is: 1,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248 : 586.38 = 586.38 : x
  2. Step 2: Convert to fraction form
    248/586.38 = 586.38/x
  3. Step 3: Cross multiply
    248x = 586.38 × 586.38
  4. Step 4: Simplify right side
    248x = 343,835.64
  5. Step 5: Solve for x
    x = 343,835.64/248
  6. Step 6: Final answer
    x = 1,386.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.