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Finding the Third Proportional to 138,866 and 210,244

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Solution

The third proportional to 138,866 and 210,244 is: 318,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,866 : 210,244 = 210,244 : x
  2. Step 2: Convert to fraction form
    138,866/210,244 = 210,244/x
  3. Step 3: Cross multiply
    138,866x = 210,244 × 210,244
  4. Step 4: Simplify right side
    138,866x = 44,202,539,536
  5. Step 5: Solve for x
    x = 44,202,539,536/138,866
  6. Step 6: Final answer
    x = 318,310.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.