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Finding the Third Proportional to 165,834 and 250,138.25

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Solution

The third proportional to 165,834 and 250,138.25 is: 377,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,834 : 250,138.25 = 250,138.25 : x
  2. Step 2: Convert to fraction form
    165,834/250,138.25 = 250,138.25/x
  3. Step 3: Cross multiply
    165,834x = 250,138.25 × 250,138.25
  4. Step 4: Simplify right side
    165,834x = 62,569,144,113.06
  5. Step 5: Solve for x
    x = 62,569,144,113.06/165,834
  6. Step 6: Final answer
    x = 377,299.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.