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Finding the Third Proportional to 169,355.81 and 262,143.84

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Solution

The third proportional to 169,355.81 and 262,143.84 is: 405,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,355.81 : 262,143.84 = 262,143.84 : x
  2. Step 2: Convert to fraction form
    169,355.81/262,143.84 = 262,143.84/x
  3. Step 3: Cross multiply
    169,355.81x = 262,143.84 × 262,143.84
  4. Step 4: Simplify right side
    169,355.81x = 68,719,394,816.02
  5. Step 5: Solve for x
    x = 68,719,394,816.02/169,355.81
  6. Step 6: Final answer
    x = 405,769.33

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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.