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Finding the Third Proportional to 76,300 and 165,734

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Solution

The third proportional to 76,300 and 165,734 is: 359,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,300 : 165,734 = 165,734 : x
  2. Step 2: Convert to fraction form
    76,300/165,734 = 165,734/x
  3. Step 3: Cross multiply
    76,300x = 165,734 × 165,734
  4. Step 4: Simplify right side
    76,300x = 27,467,758,756
  5. Step 5: Solve for x
    x = 27,467,758,756/76,300
  6. Step 6: Final answer
    x = 359,996.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.