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Finding the Third Proportional to 94,508 and 203,704

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Solution

The third proportional to 94,508 and 203,704 is: 439,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,508 : 203,704 = 203,704 : x
  2. Step 2: Convert to fraction form
    94,508/203,704 = 203,704/x
  3. Step 3: Cross multiply
    94,508x = 203,704 × 203,704
  4. Step 4: Simplify right side
    94,508x = 41,495,319,616
  5. Step 5: Solve for x
    x = 41,495,319,616/94,508
  6. Step 6: Final answer
    x = 439,066.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.