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Finding the Third Proportional to 138,866 and 302,821

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Solution

The third proportional to 138,866 and 302,821 is: 660,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,866 : 302,821 = 302,821 : x
  2. Step 2: Convert to fraction form
    138,866/302,821 = 302,821/x
  3. Step 3: Cross multiply
    138,866x = 302,821 × 302,821
  4. Step 4: Simplify right side
    138,866x = 91,700,558,041
  5. Step 5: Solve for x
    x = 91,700,558,041/138,866
  6. Step 6: Final answer
    x = 660,352.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.