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Finding the Third Proportional to 102,904 and 224,744

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Solution

The third proportional to 102,904 and 224,744 is: 490,844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,904 : 224,744 = 224,744 : x
  2. Step 2: Convert to fraction form
    102,904/224,744 = 224,744/x
  3. Step 3: Cross multiply
    102,904x = 224,744 × 224,744
  4. Step 4: Simplify right side
    102,904x = 50,509,865,536
  5. Step 5: Solve for x
    x = 50,509,865,536/102,904
  6. Step 6: Final answer
    x = 490,844.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.