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Finding the Third Proportional to 203,384 and 307,704

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Solution

The third proportional to 203,384 and 307,704 is: 465,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,384 : 307,704 = 307,704 : x
  2. Step 2: Convert to fraction form
    203,384/307,704 = 307,704/x
  3. Step 3: Cross multiply
    203,384x = 307,704 × 307,704
  4. Step 4: Simplify right side
    203,384x = 94,681,751,616
  5. Step 5: Solve for x
    x = 94,681,751,616/203,384
  6. Step 6: Final answer
    x = 465,531.96

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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.