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Finding the Third Proportional to 197,163 and 295,409.25

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Solution

The third proportional to 197,163 and 295,409.25 is: 442,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,163 : 295,409.25 = 295,409.25 : x
  2. Step 2: Convert to fraction form
    197,163/295,409.25 = 295,409.25/x
  3. Step 3: Cross multiply
    197,163x = 295,409.25 × 295,409.25
  4. Step 4: Simplify right side
    197,163x = 87,266,624,985.56
  5. Step 5: Solve for x
    x = 87,266,624,985.56/197,163
  6. Step 6: Final answer
    x = 442,611.57

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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.