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Finding the Third Proportional to 189,694.13 and 412,849.13

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Solution

The third proportional to 189,694.13 and 412,849.13 is: 898,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,694.13 : 412,849.13 = 412,849.13 : x
  2. Step 2: Convert to fraction form
    189,694.13/412,849.13 = 412,849.13/x
  3. Step 3: Cross multiply
    189,694.13x = 412,849.13 × 412,849.13
  4. Step 4: Simplify right side
    189,694.13x = 170,444,400,013.27
  5. Step 5: Solve for x
    x = 170,444,400,013.27/189,694.13
  6. Step 6: Final answer
    x = 898,522.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.