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Finding the Third Proportional to 238.69 and 522.94

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Solution

The third proportional to 238.69 and 522.94 is: 1,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.69 : 522.94 = 522.94 : x
  2. Step 2: Convert to fraction form
    238.69/522.94 = 522.94/x
  3. Step 3: Cross multiply
    238.69x = 522.94 × 522.94
  4. Step 4: Simplify right side
    238.69x = 273,463.63
  5. Step 5: Solve for x
    x = 273,463.63/238.69
  6. Step 6: Final answer
    x = 1,145.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.