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Finding the Third Proportional to 230.25 and 338.63

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Solution

The third proportional to 230.25 and 338.63 is: 498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 338.63 = 338.63 : x
  2. Step 2: Convert to fraction form
    230.25/338.63 = 338.63/x
  3. Step 3: Cross multiply
    230.25x = 338.63 × 338.63
  4. Step 4: Simplify right side
    230.25x = 114,666.89
  5. Step 5: Solve for x
    x = 114,666.89/230.25
  6. Step 6: Final answer
    x = 498.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.