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Finding the Third Proportional to 197,435 and 297,930

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Solution

The third proportional to 197,435 and 297,930 is: 449,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,435 : 297,930 = 297,930 : x
  2. Step 2: Convert to fraction form
    197,435/297,930 = 297,930/x
  3. Step 3: Cross multiply
    197,435x = 297,930 × 297,930
  4. Step 4: Simplify right side
    197,435x = 88,762,284,900
  5. Step 5: Solve for x
    x = 88,762,284,900/197,435
  6. Step 6: Final answer
    x = 449,577.25

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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.