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Finding the Third Proportional to 238.69 and 554.81

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Solution

The third proportional to 238.69 and 554.81 is: 1,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.69 : 554.81 = 554.81 : x
  2. Step 2: Convert to fraction form
    238.69/554.81 = 554.81/x
  3. Step 3: Cross multiply
    238.69x = 554.81 × 554.81
  4. Step 4: Simplify right side
    238.69x = 307,816.91
  5. Step 5: Solve for x
    x = 307,816.91/238.69
  6. Step 6: Final answer
    x = 1,289.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.