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Finding the Third Proportional to 230.25 and 425.63

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Solution

The third proportional to 230.25 and 425.63 is: 786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 425.63 = 425.63 : x
  2. Step 2: Convert to fraction form
    230.25/425.63 = 425.63/x
  3. Step 3: Cross multiply
    230.25x = 425.63 × 425.63
  4. Step 4: Simplify right side
    230.25x = 181,156.64
  5. Step 5: Solve for x
    x = 181,156.64/230.25
  6. Step 6: Final answer
    x = 786.78

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.