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Finding the Third Proportional to 169,265.53 and 262,936.76

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Solution

The third proportional to 169,265.53 and 262,936.76 is: 408,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,265.53 : 262,936.76 = 262,936.76 : x
  2. Step 2: Convert to fraction form
    169,265.53/262,936.76 = 262,936.76/x
  3. Step 3: Cross multiply
    169,265.53x = 262,936.76 × 262,936.76
  4. Step 4: Simplify right side
    169,265.53x = 69,135,738,608.95
  5. Step 5: Solve for x
    x = 69,135,738,608.95/169,265.53
  6. Step 6: Final answer
    x = 408,445.46

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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.