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Finding the Third Proportional to 242,874 and 367,704

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Solution

The third proportional to 242,874 and 367,704 is: 556,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,874 : 367,704 = 367,704 : x
  2. Step 2: Convert to fraction form
    242,874/367,704 = 367,704/x
  3. Step 3: Cross multiply
    242,874x = 367,704 × 367,704
  4. Step 4: Simplify right side
    242,874x = 135,206,231,616
  5. Step 5: Solve for x
    x = 135,206,231,616/242,874
  6. Step 6: Final answer
    x = 556,692.90

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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.