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Finding the Third Proportional to 198,632.25 and 434,145.94

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Solution

The third proportional to 198,632.25 and 434,145.94 is: 948,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,632.25 : 434,145.94 = 434,145.94 : x
  2. Step 2: Convert to fraction form
    198,632.25/434,145.94 = 434,145.94/x
  3. Step 3: Cross multiply
    198,632.25x = 434,145.94 × 434,145.94
  4. Step 4: Simplify right side
    198,632.25x = 188,482,695,047.75
  5. Step 5: Solve for x
    x = 188,482,695,047.75/198,632.25
  6. Step 6: Final answer
    x = 948,902.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.