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Finding the Third Proportional to 76,322 and 165,780

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Solution

The third proportional to 76,322 and 165,780 is: 360,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,322 : 165,780 = 165,780 : x
  2. Step 2: Convert to fraction form
    76,322/165,780 = 165,780/x
  3. Step 3: Cross multiply
    76,322x = 165,780 × 165,780
  4. Step 4: Simplify right side
    76,322x = 27,483,008,400
  5. Step 5: Solve for x
    x = 27,483,008,400/76,322
  6. Step 6: Final answer
    x = 360,092.87

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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.