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Finding the Third Proportional to 111,844.41 and 169,395.47

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Solution

The third proportional to 111,844.41 and 169,395.47 is: 256,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,844.41 : 169,395.47 = 169,395.47 : x
  2. Step 2: Convert to fraction form
    111,844.41/169,395.47 = 169,395.47/x
  3. Step 3: Cross multiply
    111,844.41x = 169,395.47 × 169,395.47
  4. Step 4: Simplify right side
    111,844.41x = 28,694,824,833.03
  5. Step 5: Solve for x
    x = 28,694,824,833.03/111,844.41
  6. Step 6: Final answer
    x = 256,560.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.