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Finding the Third Proportional to 195,760.50 and 427,474.13

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Solution

The third proportional to 195,760.50 and 427,474.13 is: 933,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,760.50 : 427,474.13 = 427,474.13 : x
  2. Step 2: Convert to fraction form
    195,760.50/427,474.13 = 427,474.13/x
  3. Step 3: Cross multiply
    195,760.50x = 427,474.13 × 427,474.13
  4. Step 4: Simplify right side
    195,760.50x = 182,734,127,544.52
  5. Step 5: Solve for x
    x = 182,734,127,544.52/195,760.50
  6. Step 6: Final answer
    x = 933,457.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.