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Finding the Third Proportional to 248.06 and 383.81

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Solution

The third proportional to 248.06 and 383.81 is: 593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.06 : 383.81 = 383.81 : x
  2. Step 2: Convert to fraction form
    248.06/383.81 = 383.81/x
  3. Step 3: Cross multiply
    248.06x = 383.81 × 383.81
  4. Step 4: Simplify right side
    248.06x = 147,312.04
  5. Step 5: Solve for x
    x = 147,312.04/248.06
  6. Step 6: Final answer
    x = 593.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.