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Finding the Third Proportional to 161,013 and 349,689

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Solution

The third proportional to 161,013 and 349,689 is: 759,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,013 : 349,689 = 349,689 : x
  2. Step 2: Convert to fraction form
    161,013/349,689 = 349,689/x
  3. Step 3: Cross multiply
    161,013x = 349,689 × 349,689
  4. Step 4: Simplify right side
    161,013x = 122,282,396,721
  5. Step 5: Solve for x
    x = 122,282,396,721/161,013
  6. Step 6: Final answer
    x = 759,456.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.