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Finding the Third Proportional to 194,079 and 422,328

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Solution

The third proportional to 194,079 and 422,328 is: 919,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,079 : 422,328 = 422,328 : x
  2. Step 2: Convert to fraction form
    194,079/422,328 = 422,328/x
  3. Step 3: Cross multiply
    194,079x = 422,328 × 422,328
  4. Step 4: Simplify right side
    194,079x = 178,360,939,584
  5. Step 5: Solve for x
    x = 178,360,939,584/194,079
  6. Step 6: Final answer
    x = 919,012.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.