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Finding the Third Proportional to 165,337 and 247,640

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Solution

The third proportional to 165,337 and 247,640 is: 370,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,337 : 247,640 = 247,640 : x
  2. Step 2: Convert to fraction form
    165,337/247,640 = 247,640/x
  3. Step 3: Cross multiply
    165,337x = 247,640 × 247,640
  4. Step 4: Simplify right side
    165,337x = 61,325,569,600
  5. Step 5: Solve for x
    x = 61,325,569,600/165,337
  6. Step 6: Final answer
    x = 370,912.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.