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Finding the Third Proportional to 103.78 and 248.06

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Solution

The third proportional to 103.78 and 248.06 is: 592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.78 : 248.06 = 248.06 : x
  2. Step 2: Convert to fraction form
    103.78/248.06 = 248.06/x
  3. Step 3: Cross multiply
    103.78x = 248.06 × 248.06
  4. Step 4: Simplify right side
    103.78x = 61,535.00
  5. Step 5: Solve for x
    x = 61,535.00/103.78
  6. Step 6: Final answer
    x = 592.93

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.