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Finding the Third Proportional to 169,365.94 and 262,558.13

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Solution

The third proportional to 169,365.94 and 262,558.13 is: 407,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,365.94 : 262,558.13 = 262,558.13 : x
  2. Step 2: Convert to fraction form
    169,365.94/262,558.13 = 262,558.13/x
  3. Step 3: Cross multiply
    169,365.94x = 262,558.13 × 262,558.13
  4. Step 4: Simplify right side
    169,365.94x = 68,936,769,003.52
  5. Step 5: Solve for x
    x = 68,936,769,003.52/169,365.94
  6. Step 6: Final answer
    x = 407,028.53

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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.