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Finding the Third Proportional to 76,431 and 164,578

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Solution

The third proportional to 76,431 and 164,578 is: 354,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,431 : 164,578 = 164,578 : x
  2. Step 2: Convert to fraction form
    76,431/164,578 = 164,578/x
  3. Step 3: Cross multiply
    76,431x = 164,578 × 164,578
  4. Step 4: Simplify right side
    76,431x = 27,085,918,084
  5. Step 5: Solve for x
    x = 27,085,918,084/76,431
  6. Step 6: Final answer
    x = 354,383.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.