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Finding the Third Proportional to 162,464 and 339,682

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Solution

The third proportional to 162,464 and 339,682 is: 710,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,464 : 339,682 = 339,682 : x
  2. Step 2: Convert to fraction form
    162,464/339,682 = 339,682/x
  3. Step 3: Cross multiply
    162,464x = 339,682 × 339,682
  4. Step 4: Simplify right side
    162,464x = 115,383,861,124
  5. Step 5: Solve for x
    x = 115,383,861,124/162,464
  6. Step 6: Final answer
    x = 710,211.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.