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Finding the Third Proportional to 104,930 and 224,819

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Solution

The third proportional to 104,930 and 224,819 is: 481,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,930 : 224,819 = 224,819 : x
  2. Step 2: Convert to fraction form
    104,930/224,819 = 224,819/x
  3. Step 3: Cross multiply
    104,930x = 224,819 × 224,819
  4. Step 4: Simplify right side
    104,930x = 50,543,582,761
  5. Step 5: Solve for x
    x = 50,543,582,761/104,930
  6. Step 6: Final answer
    x = 481,688.58

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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.