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Finding the Third Proportional to 215,804 and 315,885

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Solution

The third proportional to 215,804 and 315,885 is: 462,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,804 : 315,885 = 315,885 : x
  2. Step 2: Convert to fraction form
    215,804/315,885 = 315,885/x
  3. Step 3: Cross multiply
    215,804x = 315,885 × 315,885
  4. Step 4: Simplify right side
    215,804x = 99,783,333,225
  5. Step 5: Solve for x
    x = 99,783,333,225/215,804
  6. Step 6: Final answer
    x = 462,379.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.