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Finding the Third Proportional to 169,569.70 and 269,922.38

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Solution

The third proportional to 169,569.70 and 269,922.38 is: 429,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,569.70 : 269,922.38 = 269,922.38 : x
  2. Step 2: Convert to fraction form
    169,569.70/269,922.38 = 269,922.38/x
  3. Step 3: Cross multiply
    169,569.70x = 269,922.38 × 269,922.38
  4. Step 4: Simplify right side
    169,569.70x = 72,858,088,525.64
  5. Step 5: Solve for x
    x = 72,858,088,525.64/169,569.70
  6. Step 6: Final answer
    x = 429,664.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.