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Finding the Third Proportional to 104,414 and 203,572

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Solution

The third proportional to 104,414 and 203,572 is: 396,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,414 : 203,572 = 203,572 : x
  2. Step 2: Convert to fraction form
    104,414/203,572 = 203,572/x
  3. Step 3: Cross multiply
    104,414x = 203,572 × 203,572
  4. Step 4: Simplify right side
    104,414x = 41,441,559,184
  5. Step 5: Solve for x
    x = 41,441,559,184/104,414
  6. Step 6: Final answer
    x = 396,896.58

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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.