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Finding the Third Proportional to 104,416 and 203,576

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Solution

The third proportional to 104,416 and 203,576 is: 396,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,416 : 203,576 = 203,576 : x
  2. Step 2: Convert to fraction form
    104,416/203,576 = 203,576/x
  3. Step 3: Cross multiply
    104,416x = 203,576 × 203,576
  4. Step 4: Simplify right side
    104,416x = 41,443,187,776
  5. Step 5: Solve for x
    x = 41,443,187,776/104,416
  6. Step 6: Final answer
    x = 396,904.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.