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Finding the Third Proportional to 104,167 and 224,554

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Solution

The third proportional to 104,167 and 224,554 is: 484,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,167 : 224,554 = 224,554 : x
  2. Step 2: Convert to fraction form
    104,167/224,554 = 224,554/x
  3. Step 3: Cross multiply
    104,167x = 224,554 × 224,554
  4. Step 4: Simplify right side
    104,167x = 50,424,498,916
  5. Step 5: Solve for x
    x = 50,424,498,916/104,167
  6. Step 6: Final answer
    x = 484,073.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.