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Finding the Third Proportional to 165,511.69 and 350,885.67

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Solution

The third proportional to 165,511.69 and 350,885.67 is: 743,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,511.69 : 350,885.67 = 350,885.67 : x
  2. Step 2: Convert to fraction form
    165,511.69/350,885.67 = 350,885.67/x
  3. Step 3: Cross multiply
    165,511.69x = 350,885.67 × 350,885.67
  4. Step 4: Simplify right side
    165,511.69x = 123,120,754,727.17
  5. Step 5: Solve for x
    x = 123,120,754,727.17/165,511.69
  6. Step 6: Final answer
    x = 743,879.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.