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Finding the Third Proportional to 74,834 and 160,630

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Solution

The third proportional to 74,834 and 160,630 is: 344,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,834 : 160,630 = 160,630 : x
  2. Step 2: Convert to fraction form
    74,834/160,630 = 160,630/x
  3. Step 3: Cross multiply
    74,834x = 160,630 × 160,630
  4. Step 4: Simplify right side
    74,834x = 25,801,996,900
  5. Step 5: Solve for x
    x = 25,801,996,900/74,834
  6. Step 6: Final answer
    x = 344,789.76

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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.