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Finding the Third Proportional to 197,073 and 295,305.75

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Solution

The third proportional to 197,073 and 295,305.75 is: 442,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,073 : 295,305.75 = 295,305.75 : x
  2. Step 2: Convert to fraction form
    197,073/295,305.75 = 295,305.75/x
  3. Step 3: Cross multiply
    197,073x = 295,305.75 × 295,305.75
  4. Step 4: Simplify right side
    197,073x = 87,205,485,983.06
  5. Step 5: Solve for x
    x = 87,205,485,983.06/197,073
  6. Step 6: Final answer
    x = 442,503.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.