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Finding the Third Proportional to 197,641 and 295,921.50

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Solution

The third proportional to 197,641 and 295,921.50 is: 443,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,641 : 295,921.50 = 295,921.50 : x
  2. Step 2: Convert to fraction form
    197,641/295,921.50 = 295,921.50/x
  3. Step 3: Cross multiply
    197,641x = 295,921.50 × 295,921.50
  4. Step 4: Simplify right side
    197,641x = 87,569,534,162.25
  5. Step 5: Solve for x
    x = 87,569,534,162.25/197,641
  6. Step 6: Final answer
    x = 443,073.73

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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.