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Finding the Third Proportional to 161,241 and 376,524

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Solution

The third proportional to 161,241 and 376,524 is: 879,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,241 : 376,524 = 376,524 : x
  2. Step 2: Convert to fraction form
    161,241/376,524 = 376,524/x
  3. Step 3: Cross multiply
    161,241x = 376,524 × 376,524
  4. Step 4: Simplify right side
    161,241x = 141,770,322,576
  5. Step 5: Solve for x
    x = 141,770,322,576/161,241
  6. Step 6: Final answer
    x = 879,244.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.