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Finding the Third Proportional to 231,176 and 362,738

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Solution

The third proportional to 231,176 and 362,738 is: 569,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,176 : 362,738 = 362,738 : x
  2. Step 2: Convert to fraction form
    231,176/362,738 = 362,738/x
  3. Step 3: Cross multiply
    231,176x = 362,738 × 362,738
  4. Step 4: Simplify right side
    231,176x = 131,578,856,644
  5. Step 5: Solve for x
    x = 131,578,856,644/231,176
  6. Step 6: Final answer
    x = 569,171.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.