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Finding the Third Proportional to 195,063.75 and 366,799.50

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Solution

The third proportional to 195,063.75 and 366,799.50 is: 689,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,063.75 : 366,799.50 = 366,799.50 : x
  2. Step 2: Convert to fraction form
    195,063.75/366,799.50 = 366,799.50/x
  3. Step 3: Cross multiply
    195,063.75x = 366,799.50 × 366,799.50
  4. Step 4: Simplify right side
    195,063.75x = 134,541,873,200.25
  5. Step 5: Solve for x
    x = 134,541,873,200.25/195,063.75
  6. Step 6: Final answer
    x = 689,732.83

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.