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Finding the Third Proportional to 102.94 and 248.53

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Solution

The third proportional to 102.94 and 248.53 is: 600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 248.53 = 248.53 : x
  2. Step 2: Convert to fraction form
    102.94/248.53 = 248.53/x
  3. Step 3: Cross multiply
    102.94x = 248.53 × 248.53
  4. Step 4: Simplify right side
    102.94x = 61,767.78
  5. Step 5: Solve for x
    x = 61,767.78/102.94
  6. Step 6: Final answer
    x = 600.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.