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Finding the Third Proportional to 241,902 and 381,405

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Solution

The third proportional to 241,902 and 381,405 is: 601,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,902 : 381,405 = 381,405 : x
  2. Step 2: Convert to fraction form
    241,902/381,405 = 381,405/x
  3. Step 3: Cross multiply
    241,902x = 381,405 × 381,405
  4. Step 4: Simplify right side
    241,902x = 145,469,774,025
  5. Step 5: Solve for x
    x = 145,469,774,025/241,902
  6. Step 6: Final answer
    x = 601,358.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.