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Finding the Third Proportional to 144,981 and 230,067

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Solution

The third proportional to 144,981 and 230,067 is: 365,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,981 : 230,067 = 230,067 : x
  2. Step 2: Convert to fraction form
    144,981/230,067 = 230,067/x
  3. Step 3: Cross multiply
    144,981x = 230,067 × 230,067
  4. Step 4: Simplify right side
    144,981x = 52,930,824,489
  5. Step 5: Solve for x
    x = 52,930,824,489/144,981
  6. Step 6: Final answer
    x = 365,088.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.