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Finding the Third Proportional to 76,378 and 165,824

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Solution

The third proportional to 76,378 and 165,824 is: 360,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378 : 165,824 = 165,824 : x
  2. Step 2: Convert to fraction form
    76,378/165,824 = 165,824/x
  3. Step 3: Cross multiply
    76,378x = 165,824 × 165,824
  4. Step 4: Simplify right side
    76,378x = 27,497,598,976
  5. Step 5: Solve for x
    x = 27,497,598,976/76,378
  6. Step 6: Final answer
    x = 360,019.89

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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.