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Finding the Third Proportional to 198,696 and 430,542

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Solution

The third proportional to 198,696 and 430,542 is: 932,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,696 : 430,542 = 430,542 : x
  2. Step 2: Convert to fraction form
    198,696/430,542 = 430,542/x
  3. Step 3: Cross multiply
    198,696x = 430,542 × 430,542
  4. Step 4: Simplify right side
    198,696x = 185,366,413,764
  5. Step 5: Solve for x
    x = 185,366,413,764/198,696
  6. Step 6: Final answer
    x = 932,914.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.