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Finding the Third Proportional to 384.75 and 425.25

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Solution

The third proportional to 384.75 and 425.25 is: 470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 425.25 = 425.25 : x
  2. Step 2: Convert to fraction form
    384.75/425.25 = 425.25/x
  3. Step 3: Cross multiply
    384.75x = 425.25 × 425.25
  4. Step 4: Simplify right side
    384.75x = 180,837.56
  5. Step 5: Solve for x
    x = 180,837.56/384.75
  6. Step 6: Final answer
    x = 470.01

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.