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Finding the Third Proportional to 198,402.75 and 298,056.38

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Solution

The third proportional to 198,402.75 and 298,056.38 is: 447,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,402.75 : 298,056.38 = 298,056.38 : x
  2. Step 2: Convert to fraction form
    198,402.75/298,056.38 = 298,056.38/x
  3. Step 3: Cross multiply
    198,402.75x = 298,056.38 × 298,056.38
  4. Step 4: Simplify right side
    198,402.75x = 88,837,602,678.14
  5. Step 5: Solve for x
    x = 88,837,602,678.14/198,402.75
  6. Step 6: Final answer
    x = 447,763.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.