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Finding the Third Proportional to 194,912 and 426,274

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Solution

The third proportional to 194,912 and 426,274 is: 932,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,912 : 426,274 = 426,274 : x
  2. Step 2: Convert to fraction form
    194,912/426,274 = 426,274/x
  3. Step 3: Cross multiply
    194,912x = 426,274 × 426,274
  4. Step 4: Simplify right side
    194,912x = 181,709,523,076
  5. Step 5: Solve for x
    x = 181,709,523,076/194,912
  6. Step 6: Final answer
    x = 932,264.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.