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Finding the Third Proportional to 165,806.21 and 250,016.39

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Solution

The third proportional to 165,806.21 and 250,016.39 is: 376,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,806.21 : 250,016.39 = 250,016.39 : x
  2. Step 2: Convert to fraction form
    165,806.21/250,016.39 = 250,016.39/x
  3. Step 3: Cross multiply
    165,806.21x = 250,016.39 × 250,016.39
  4. Step 4: Simplify right side
    165,806.21x = 62,508,194,116.22
  5. Step 5: Solve for x
    x = 62,508,194,116.22/165,806.21
  6. Step 6: Final answer
    x = 376,995.50

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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.