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Finding the Third Proportional to 212.75 and 392.38

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Solution

The third proportional to 212.75 and 392.38 is: 723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.75 : 392.38 = 392.38 : x
  2. Step 2: Convert to fraction form
    212.75/392.38 = 392.38/x
  3. Step 3: Cross multiply
    212.75x = 392.38 × 392.38
  4. Step 4: Simplify right side
    212.75x = 153,958.14
  5. Step 5: Solve for x
    x = 153,958.14/212.75
  6. Step 6: Final answer
    x = 723.66

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.