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Finding the Third Proportional to 190,856 and 414,544

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Solution

The third proportional to 190,856 and 414,544 is: 900,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,856 : 414,544 = 414,544 : x
  2. Step 2: Convert to fraction form
    190,856/414,544 = 414,544/x
  3. Step 3: Cross multiply
    190,856x = 414,544 × 414,544
  4. Step 4: Simplify right side
    190,856x = 171,846,727,936
  5. Step 5: Solve for x
    x = 171,846,727,936/190,856
  6. Step 6: Final answer
    x = 900,399.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.