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Finding the Third Proportional to 197,482 and 297,962

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Solution

The third proportional to 197,482 and 297,962 is: 449,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,482 : 297,962 = 297,962 : x
  2. Step 2: Convert to fraction form
    197,482/297,962 = 297,962/x
  3. Step 3: Cross multiply
    197,482x = 297,962 × 297,962
  4. Step 4: Simplify right side
    197,482x = 88,781,353,444
  5. Step 5: Solve for x
    x = 88,781,353,444/197,482
  6. Step 6: Final answer
    x = 449,566.81

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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.