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Finding the Third Proportional to 203,050 and 297,647

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Solution

The third proportional to 203,050 and 297,647 is: 436,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,050 : 297,647 = 297,647 : x
  2. Step 2: Convert to fraction form
    203,050/297,647 = 297,647/x
  3. Step 3: Cross multiply
    203,050x = 297,647 × 297,647
  4. Step 4: Simplify right side
    203,050x = 88,593,736,609
  5. Step 5: Solve for x
    x = 88,593,736,609/203,050
  6. Step 6: Final answer
    x = 436,314.88

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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.