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Finding the Third Proportional to 104,966 and 224,906

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Solution

The third proportional to 104,966 and 224,906 is: 481,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,966 : 224,906 = 224,906 : x
  2. Step 2: Convert to fraction form
    104,966/224,906 = 224,906/x
  3. Step 3: Cross multiply
    104,966x = 224,906 × 224,906
  4. Step 4: Simplify right side
    104,966x = 50,582,708,836
  5. Step 5: Solve for x
    x = 50,582,708,836/104,966
  6. Step 6: Final answer
    x = 481,896.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.