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Finding the Third Proportional to 203,274 and 297,621

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Solution

The third proportional to 203,274 and 297,621 is: 435,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,274 : 297,621 = 297,621 : x
  2. Step 2: Convert to fraction form
    203,274/297,621 = 297,621/x
  3. Step 3: Cross multiply
    203,274x = 297,621 × 297,621
  4. Step 4: Simplify right side
    203,274x = 88,578,259,641
  5. Step 5: Solve for x
    x = 88,578,259,641/203,274
  6. Step 6: Final answer
    x = 435,757.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.