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Finding the Third Proportional to 190,744 and 414,259

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Solution

The third proportional to 190,744 and 414,259 is: 899,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,744 : 414,259 = 414,259 : x
  2. Step 2: Convert to fraction form
    190,744/414,259 = 414,259/x
  3. Step 3: Cross multiply
    190,744x = 414,259 × 414,259
  4. Step 4: Simplify right side
    190,744x = 171,610,519,081
  5. Step 5: Solve for x
    x = 171,610,519,081/190,744
  6. Step 6: Final answer
    x = 899,690.26

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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.