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Finding the Third Proportional to 76,519 and 165,333.25

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Solution

The third proportional to 76,519 and 165,333.25 is: 357,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,519 : 165,333.25 = 165,333.25 : x
  2. Step 2: Convert to fraction form
    76,519/165,333.25 = 165,333.25/x
  3. Step 3: Cross multiply
    76,519x = 165,333.25 × 165,333.25
  4. Step 4: Simplify right side
    76,519x = 27,335,083,555.56
  5. Step 5: Solve for x
    x = 27,335,083,555.56/76,519
  6. Step 6: Final answer
    x = 357,232.63

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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.