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Finding the Third Proportional to 76,325 and 165,357

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Solution

The third proportional to 76,325 and 165,357 is: 358,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,325 : 165,357 = 165,357 : x
  2. Step 2: Convert to fraction form
    76,325/165,357 = 165,357/x
  3. Step 3: Cross multiply
    76,325x = 165,357 × 165,357
  4. Step 4: Simplify right side
    76,325x = 27,342,937,449
  5. Step 5: Solve for x
    x = 27,342,937,449/76,325
  6. Step 6: Final answer
    x = 358,243.53

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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.