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Finding the Third Proportional to 203,049 and 297,648

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Solution

The third proportional to 203,049 and 297,648 is: 436,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,049 : 297,648 = 297,648 : x
  2. Step 2: Convert to fraction form
    203,049/297,648 = 297,648/x
  3. Step 3: Cross multiply
    203,049x = 297,648 × 297,648
  4. Step 4: Simplify right side
    203,049x = 88,594,331,904
  5. Step 5: Solve for x
    x = 88,594,331,904/203,049
  6. Step 6: Final answer
    x = 436,319.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.