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Finding the Third Proportional to 161,040 and 349,749

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Solution

The third proportional to 161,040 and 349,749 is: 759,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,040 : 349,749 = 349,749 : x
  2. Step 2: Convert to fraction form
    161,040/349,749 = 349,749/x
  3. Step 3: Cross multiply
    161,040x = 349,749 × 349,749
  4. Step 4: Simplify right side
    161,040x = 122,324,363,001
  5. Step 5: Solve for x
    x = 122,324,363,001/161,040
  6. Step 6: Final answer
    x = 759,589.93

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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.