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Finding the Third Proportional to 144,184 and 192,866

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Solution

The third proportional to 144,184 and 192,866 is: 257,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,184 : 192,866 = 192,866 : x
  2. Step 2: Convert to fraction form
    144,184/192,866 = 192,866/x
  3. Step 3: Cross multiply
    144,184x = 192,866 × 192,866
  4. Step 4: Simplify right side
    144,184x = 37,197,293,956
  5. Step 5: Solve for x
    x = 37,197,293,956/144,184
  6. Step 6: Final answer
    x = 257,984.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.