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Finding the Third Proportional to 197,501 and 297,994.25

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Solution

The third proportional to 197,501 and 297,994.25 is: 449,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,501 : 297,994.25 = 297,994.25 : x
  2. Step 2: Convert to fraction form
    197,501/297,994.25 = 297,994.25/x
  3. Step 3: Cross multiply
    197,501x = 297,994.25 × 297,994.25
  4. Step 4: Simplify right side
    197,501x = 88,800,573,033.06
  5. Step 5: Solve for x
    x = 88,800,573,033.06/197,501
  6. Step 6: Final answer
    x = 449,620.88

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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.