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Finding the Third Proportional to 160,508 and 214,734

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Solution

The third proportional to 160,508 and 214,734 is: 287,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,508 : 214,734 = 214,734 : x
  2. Step 2: Convert to fraction form
    160,508/214,734 = 214,734/x
  3. Step 3: Cross multiply
    160,508x = 214,734 × 214,734
  4. Step 4: Simplify right side
    160,508x = 46,110,690,756
  5. Step 5: Solve for x
    x = 46,110,690,756/160,508
  6. Step 6: Final answer
    x = 287,279.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.