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Finding the Third Proportional to 378 and 565.25

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Solution

The third proportional to 378 and 565.25 is: 845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 565.25 = 565.25 : x
  2. Step 2: Convert to fraction form
    378/565.25 = 565.25/x
  3. Step 3: Cross multiply
    378x = 565.25 × 565.25
  4. Step 4: Simplify right side
    378x = 319,507.56
  5. Step 5: Solve for x
    x = 319,507.56/378
  6. Step 6: Final answer
    x = 845.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.