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Finding the Third Proportional to 76,189.50 and 165,483

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Solution

The third proportional to 76,189.50 and 165,483 is: 359,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,189.50 : 165,483 = 165,483 : x
  2. Step 2: Convert to fraction form
    76,189.50/165,483 = 165,483/x
  3. Step 3: Cross multiply
    76,189.50x = 165,483 × 165,483
  4. Step 4: Simplify right side
    76,189.50x = 27,384,623,289
  5. Step 5: Solve for x
    x = 27,384,623,289/76,189.50
  6. Step 6: Final answer
    x = 359,427.79

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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.