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Finding the Third Proportional to 195,609.50 and 412,235.25

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Solution

The third proportional to 195,609.50 and 412,235.25 is: 868,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,609.50 : 412,235.25 = 412,235.25 : x
  2. Step 2: Convert to fraction form
    195,609.50/412,235.25 = 412,235.25/x
  3. Step 3: Cross multiply
    195,609.50x = 412,235.25 × 412,235.25
  4. Step 4: Simplify right side
    195,609.50x = 169,937,901,342.56
  5. Step 5: Solve for x
    x = 169,937,901,342.56/195,609.50
  6. Step 6: Final answer
    x = 868,760.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.