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Finding the Third Proportional to 104,176 and 215,738

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Solution

The third proportional to 104,176 and 215,738 is: 446,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,176 : 215,738 = 215,738 : x
  2. Step 2: Convert to fraction form
    104,176/215,738 = 215,738/x
  3. Step 3: Cross multiply
    104,176x = 215,738 × 215,738
  4. Step 4: Simplify right side
    104,176x = 46,542,884,644
  5. Step 5: Solve for x
    x = 46,542,884,644/104,176
  6. Step 6: Final answer
    x = 446,771.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.