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Finding the Third Proportional to 189,190 and 407,081

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Solution

The third proportional to 189,190 and 407,081 is: 875,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,190 : 407,081 = 407,081 : x
  2. Step 2: Convert to fraction form
    189,190/407,081 = 407,081/x
  3. Step 3: Cross multiply
    189,190x = 407,081 × 407,081
  4. Step 4: Simplify right side
    189,190x = 165,714,940,561
  5. Step 5: Solve for x
    x = 165,714,940,561/189,190
  6. Step 6: Final answer
    x = 875,918.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.