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Finding the Third Proportional to 175,908.38 and 414,843.19

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Solution

The third proportional to 175,908.38 and 414,843.19 is: 978,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,908.38 : 414,843.19 = 414,843.19 : x
  2. Step 2: Convert to fraction form
    175,908.38/414,843.19 = 414,843.19/x
  3. Step 3: Cross multiply
    175,908.38x = 414,843.19 × 414,843.19
  4. Step 4: Simplify right side
    175,908.38x = 172,094,870,215.16
  5. Step 5: Solve for x
    x = 172,094,870,215.16/175,908.38
  6. Step 6: Final answer
    x = 978,321.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.