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Finding the Third Proportional to 179,314 and 422,681

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Solution

The third proportional to 179,314 and 422,681 is: 996,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,314 : 422,681 = 422,681 : x
  2. Step 2: Convert to fraction form
    179,314/422,681 = 422,681/x
  3. Step 3: Cross multiply
    179,314x = 422,681 × 422,681
  4. Step 4: Simplify right side
    179,314x = 178,659,227,761
  5. Step 5: Solve for x
    x = 178,659,227,761/179,314
  6. Step 6: Final answer
    x = 996,348.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.