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Finding the Third Proportional to 75,977.25 and 165,333

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Solution

The third proportional to 75,977.25 and 165,333 is: 359,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,977.25 : 165,333 = 165,333 : x
  2. Step 2: Convert to fraction form
    75,977.25/165,333 = 165,333/x
  3. Step 3: Cross multiply
    75,977.25x = 165,333 × 165,333
  4. Step 4: Simplify right side
    75,977.25x = 27,335,000,889
  5. Step 5: Solve for x
    x = 27,335,000,889/75,977.25
  6. Step 6: Final answer
    x = 359,778.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.