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Finding the Third Proportional to 79,000 and 175,496

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Solution

The third proportional to 79,000 and 175,496 is: 389,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,000 : 175,496 = 175,496 : x
  2. Step 2: Convert to fraction form
    79,000/175,496 = 175,496/x
  3. Step 3: Cross multiply
    79,000x = 175,496 × 175,496
  4. Step 4: Simplify right side
    79,000x = 30,798,846,016
  5. Step 5: Solve for x
    x = 30,798,846,016/79,000
  6. Step 6: Final answer
    x = 389,858.81

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.