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Finding the Third Proportional to 165,190 and 349,699

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Solution

The third proportional to 165,190 and 349,699 is: 740,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,190 : 349,699 = 349,699 : x
  2. Step 2: Convert to fraction form
    165,190/349,699 = 349,699/x
  3. Step 3: Cross multiply
    165,190x = 349,699 × 349,699
  4. Step 4: Simplify right side
    165,190x = 122,289,390,601
  5. Step 5: Solve for x
    x = 122,289,390,601/165,190
  6. Step 6: Final answer
    x = 740,295.36

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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.