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Finding the Third Proportional to 194,439 and 426,253

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Solution

The third proportional to 194,439 and 426,253 is: 934,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,439 : 426,253 = 426,253 : x
  2. Step 2: Convert to fraction form
    194,439/426,253 = 426,253/x
  3. Step 3: Cross multiply
    194,439x = 426,253 × 426,253
  4. Step 4: Simplify right side
    194,439x = 181,691,620,009
  5. Step 5: Solve for x
    x = 181,691,620,009/194,439
  6. Step 6: Final answer
    x = 934,440.21

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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.