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Finding the Third Proportional to 247.78 and 378.14

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Solution

The third proportional to 247.78 and 378.14 is: 577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.78 : 378.14 = 378.14 : x
  2. Step 2: Convert to fraction form
    247.78/378.14 = 378.14/x
  3. Step 3: Cross multiply
    247.78x = 378.14 × 378.14
  4. Step 4: Simplify right side
    247.78x = 142,990.33
  5. Step 5: Solve for x
    x = 142,990.33/247.78
  6. Step 6: Final answer
    x = 577.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.