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Finding the Third Proportional to 169,896 and 269,910

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Solution

The third proportional to 169,896 and 269,910 is: 428,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,896 : 269,910 = 269,910 : x
  2. Step 2: Convert to fraction form
    169,896/269,910 = 269,910/x
  3. Step 3: Cross multiply
    169,896x = 269,910 × 269,910
  4. Step 4: Simplify right side
    169,896x = 72,851,408,100
  5. Step 5: Solve for x
    x = 72,851,408,100/169,896
  6. Step 6: Final answer
    x = 428,800.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.