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Finding the Third Proportional to 190,885 and 414,967

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Solution

The third proportional to 190,885 and 414,967 is: 902,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,885 : 414,967 = 414,967 : x
  2. Step 2: Convert to fraction form
    190,885/414,967 = 414,967/x
  3. Step 3: Cross multiply
    190,885x = 414,967 × 414,967
  4. Step 4: Simplify right side
    190,885x = 172,197,611,089
  5. Step 5: Solve for x
    x = 172,197,611,089/190,885
  6. Step 6: Final answer
    x = 902,101.32

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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.