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Finding the Third Proportional to 203,728.44 and 442,516.63

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Solution

The third proportional to 203,728.44 and 442,516.63 is: 961,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,728.44 : 442,516.63 = 442,516.63 : x
  2. Step 2: Convert to fraction form
    203,728.44/442,516.63 = 442,516.63/x
  3. Step 3: Cross multiply
    203,728.44x = 442,516.63 × 442,516.63
  4. Step 4: Simplify right side
    203,728.44x = 195,820,963,401.39
  5. Step 5: Solve for x
    x = 195,820,963,401.39/203,728.44
  6. Step 6: Final answer
    x = 961,186.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.