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Finding the Third Proportional to 243.63 and 364.63

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Solution

The third proportional to 243.63 and 364.63 is: 545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.63 : 364.63 = 364.63 : x
  2. Step 2: Convert to fraction form
    243.63/364.63 = 364.63/x
  3. Step 3: Cross multiply
    243.63x = 364.63 × 364.63
  4. Step 4: Simplify right side
    243.63x = 132,951.39
  5. Step 5: Solve for x
    x = 132,951.39/243.63
  6. Step 6: Final answer
    x = 545.72

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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.