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Finding the Third Proportional to 194,433 and 426,241

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Solution

The third proportional to 194,433 and 426,241 is: 934,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,433 : 426,241 = 426,241 : x
  2. Step 2: Convert to fraction form
    194,433/426,241 = 426,241/x
  3. Step 3: Cross multiply
    194,433x = 426,241 × 426,241
  4. Step 4: Simplify right side
    194,433x = 181,681,390,081
  5. Step 5: Solve for x
    x = 181,681,390,081/194,433
  6. Step 6: Final answer
    x = 934,416.43

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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.