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Finding the Third Proportional to 247.92 and 364.64

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Solution

The third proportional to 247.92 and 364.64 is: 536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.92 : 364.64 = 364.64 : x
  2. Step 2: Convert to fraction form
    247.92/364.64 = 364.64/x
  3. Step 3: Cross multiply
    247.92x = 364.64 × 364.64
  4. Step 4: Simplify right side
    247.92x = 132,962.79
  5. Step 5: Solve for x
    x = 132,962.79/247.92
  6. Step 6: Final answer
    x = 536.31

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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.