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Finding the Third Proportional to 76,698 and 164,324

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Solution

The third proportional to 76,698 and 164,324 is: 352,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698 : 164,324 = 164,324 : x
  2. Step 2: Convert to fraction form
    76,698/164,324 = 164,324/x
  3. Step 3: Cross multiply
    76,698x = 164,324 × 164,324
  4. Step 4: Simplify right side
    76,698x = 27,002,376,976
  5. Step 5: Solve for x
    x = 27,002,376,976/76,698
  6. Step 6: Final answer
    x = 352,061.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.