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Finding the Third Proportional to 76,476 and 165,256

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Solution

The third proportional to 76,476 and 165,256 is: 357,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476 : 165,256 = 165,256 : x
  2. Step 2: Convert to fraction form
    76,476/165,256 = 165,256/x
  3. Step 3: Cross multiply
    76,476x = 165,256 × 165,256
  4. Step 4: Simplify right side
    76,476x = 27,309,545,536
  5. Step 5: Solve for x
    x = 27,309,545,536/76,476
  6. Step 6: Final answer
    x = 357,099.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.