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Finding the Third Proportional to 169,551 and 262,120

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Solution

The third proportional to 169,551 and 262,120 is: 405,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,551 : 262,120 = 262,120 : x
  2. Step 2: Convert to fraction form
    169,551/262,120 = 262,120/x
  3. Step 3: Cross multiply
    169,551x = 262,120 × 262,120
  4. Step 4: Simplify right side
    169,551x = 68,706,894,400
  5. Step 5: Solve for x
    x = 68,706,894,400/169,551
  6. Step 6: Final answer
    x = 405,228.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.