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Finding the Third Proportional to 190,808 and 302,067

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Solution

The third proportional to 190,808 and 302,067 is: 478,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,808 : 302,067 = 302,067 : x
  2. Step 2: Convert to fraction form
    190,808/302,067 = 302,067/x
  3. Step 3: Cross multiply
    190,808x = 302,067 × 302,067
  4. Step 4: Simplify right side
    190,808x = 91,244,472,489
  5. Step 5: Solve for x
    x = 91,244,472,489/190,808
  6. Step 6: Final answer
    x = 478,200.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.