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Finding the Third Proportional to 197,622.50 and 295,891

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Solution

The third proportional to 197,622.50 and 295,891 is: 443,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,622.50 : 295,891 = 295,891 : x
  2. Step 2: Convert to fraction form
    197,622.50/295,891 = 295,891/x
  3. Step 3: Cross multiply
    197,622.50x = 295,891 × 295,891
  4. Step 4: Simplify right side
    197,622.50x = 87,551,483,881
  5. Step 5: Solve for x
    x = 87,551,483,881/197,622.50
  6. Step 6: Final answer
    x = 443,023.87

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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.