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Finding the Third Proportional to 169,554 and 262,125

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Solution

The third proportional to 169,554 and 262,125 is: 405,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,554 : 262,125 = 262,125 : x
  2. Step 2: Convert to fraction form
    169,554/262,125 = 262,125/x
  3. Step 3: Cross multiply
    169,554x = 262,125 × 262,125
  4. Step 4: Simplify right side
    169,554x = 68,709,515,625
  5. Step 5: Solve for x
    x = 68,709,515,625/169,554
  6. Step 6: Final answer
    x = 405,236.77

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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.