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Finding the Third Proportional to 169,524 and 262,080

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Solution

The third proportional to 169,524 and 262,080 is: 405,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,524 : 262,080 = 262,080 : x
  2. Step 2: Convert to fraction form
    169,524/262,080 = 262,080/x
  3. Step 3: Cross multiply
    169,524x = 262,080 × 262,080
  4. Step 4: Simplify right side
    169,524x = 68,685,926,400
  5. Step 5: Solve for x
    x = 68,685,926,400/169,524
  6. Step 6: Final answer
    x = 405,169.34

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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.