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Finding the Third Proportional to 74,834 and 160,622

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Solution

The third proportional to 74,834 and 160,622 is: 344,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,834 : 160,622 = 160,622 : x
  2. Step 2: Convert to fraction form
    74,834/160,622 = 160,622/x
  3. Step 3: Cross multiply
    74,834x = 160,622 × 160,622
  4. Step 4: Simplify right side
    74,834x = 25,799,426,884
  5. Step 5: Solve for x
    x = 25,799,426,884/74,834
  6. Step 6: Final answer
    x = 344,755.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.