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Finding the Third Proportional to 169,603 and 263,741

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Solution

The third proportional to 169,603 and 263,741 is: 410,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,603 : 263,741 = 263,741 : x
  2. Step 2: Convert to fraction form
    169,603/263,741 = 263,741/x
  3. Step 3: Cross multiply
    169,603x = 263,741 × 263,741
  4. Step 4: Simplify right side
    169,603x = 69,559,315,081
  5. Step 5: Solve for x
    x = 69,559,315,081/169,603
  6. Step 6: Final answer
    x = 410,130.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.