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Finding the Third Proportional to 195,559.50 and 412,135.50

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Solution

The third proportional to 195,559.50 and 412,135.50 is: 868,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,559.50 : 412,135.50 = 412,135.50 : x
  2. Step 2: Convert to fraction form
    195,559.50/412,135.50 = 412,135.50/x
  3. Step 3: Cross multiply
    195,559.50x = 412,135.50 × 412,135.50
  4. Step 4: Simplify right side
    195,559.50x = 169,855,670,360.25
  5. Step 5: Solve for x
    x = 169,855,670,360.25/195,559.50
  6. Step 6: Final answer
    x = 868,562.61

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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.