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Finding the Third Proportional to 161,649 and 349,110

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Solution

The third proportional to 161,649 and 349,110 is: 753,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,649 : 349,110 = 349,110 : x
  2. Step 2: Convert to fraction form
    161,649/349,110 = 349,110/x
  3. Step 3: Cross multiply
    161,649x = 349,110 × 349,110
  4. Step 4: Simplify right side
    161,649x = 121,877,792,100
  5. Step 5: Solve for x
    x = 121,877,792,100/161,649
  6. Step 6: Final answer
    x = 753,965.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.