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Finding the Third Proportional to 169,743.75 and 369,923.25

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Solution

The third proportional to 169,743.75 and 369,923.25 is: 806,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,743.75 : 369,923.25 = 369,923.25 : x
  2. Step 2: Convert to fraction form
    169,743.75/369,923.25 = 369,923.25/x
  3. Step 3: Cross multiply
    169,743.75x = 369,923.25 × 369,923.25
  4. Step 4: Simplify right side
    169,743.75x = 136,843,210,890.56
  5. Step 5: Solve for x
    x = 136,843,210,890.56/169,743.75
  6. Step 6: Final answer
    x = 806,175.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.