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Finding the Third Proportional to 189,194 and 401,448

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Solution

The third proportional to 189,194 and 401,448 is: 851,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,194 : 401,448 = 401,448 : x
  2. Step 2: Convert to fraction form
    189,194/401,448 = 401,448/x
  3. Step 3: Cross multiply
    189,194x = 401,448 × 401,448
  4. Step 4: Simplify right side
    189,194x = 161,160,496,704
  5. Step 5: Solve for x
    x = 161,160,496,704/189,194
  6. Step 6: Final answer
    x = 851,826.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.