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Finding the Third Proportional to 203,812.03 and 442,740.94

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Solution

The third proportional to 203,812.03 and 442,740.94 is: 961,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,812.03 : 442,740.94 = 442,740.94 : x
  2. Step 2: Convert to fraction form
    203,812.03/442,740.94 = 442,740.94/x
  3. Step 3: Cross multiply
    203,812.03x = 442,740.94 × 442,740.94
  4. Step 4: Simplify right side
    203,812.03x = 196,019,537,738.38
  5. Step 5: Solve for x
    x = 196,019,537,738.38/203,812.03
  6. Step 6: Final answer
    x = 961,766.27

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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.