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Finding the Third Proportional to 79,346 and 166,474

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Solution

The third proportional to 79,346 and 166,474 is: 349,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,346 : 166,474 = 166,474 : x
  2. Step 2: Convert to fraction form
    79,346/166,474 = 166,474/x
  3. Step 3: Cross multiply
    79,346x = 166,474 × 166,474
  4. Step 4: Simplify right side
    79,346x = 27,713,592,676
  5. Step 5: Solve for x
    x = 27,713,592,676/79,346
  6. Step 6: Final answer
    x = 349,275.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.