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Finding the Third Proportional to 198,834 and 435,468

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Solution

The third proportional to 198,834 and 435,468 is: 953,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,834 : 435,468 = 435,468 : x
  2. Step 2: Convert to fraction form
    198,834/435,468 = 435,468/x
  3. Step 3: Cross multiply
    198,834x = 435,468 × 435,468
  4. Step 4: Simplify right side
    198,834x = 189,632,379,024
  5. Step 5: Solve for x
    x = 189,632,379,024/198,834
  6. Step 6: Final answer
    x = 953,722.09

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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.