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Finding the Third Proportional to 230.25 and 364.88

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Solution

The third proportional to 230.25 and 364.88 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 364.88 = 364.88 : x
  2. Step 2: Convert to fraction form
    230.25/364.88 = 364.88/x
  3. Step 3: Cross multiply
    230.25x = 364.88 × 364.88
  4. Step 4: Simplify right side
    230.25x = 133,133.77
  5. Step 5: Solve for x
    x = 133,133.77/230.25
  6. Step 6: Final answer
    x = 578.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.