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Finding the Third Proportional to 203,742 and 442,544

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Solution

The third proportional to 203,742 and 442,544 is: 961,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,742 : 442,544 = 442,544 : x
  2. Step 2: Convert to fraction form
    203,742/442,544 = 442,544/x
  3. Step 3: Cross multiply
    203,742x = 442,544 × 442,544
  4. Step 4: Simplify right side
    203,742x = 195,845,191,936
  5. Step 5: Solve for x
    x = 195,845,191,936/203,742
  6. Step 6: Final answer
    x = 961,241.14

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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.