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Finding the Third Proportional to 169,538 and 262,279.25

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Solution

The third proportional to 169,538 and 262,279.25 is: 405,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,538 : 262,279.25 = 262,279.25 : x
  2. Step 2: Convert to fraction form
    169,538/262,279.25 = 262,279.25/x
  3. Step 3: Cross multiply
    169,538x = 262,279.25 × 262,279.25
  4. Step 4: Simplify right side
    169,538x = 68,790,404,980.56
  5. Step 5: Solve for x
    x = 68,790,404,980.56/169,538
  6. Step 6: Final answer
    x = 405,752.13

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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.