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Finding the Third Proportional to 112,161 and 240,765

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Solution

The third proportional to 112,161 and 240,765 is: 516,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,161 : 240,765 = 240,765 : x
  2. Step 2: Convert to fraction form
    112,161/240,765 = 240,765/x
  3. Step 3: Cross multiply
    112,161x = 240,765 × 240,765
  4. Step 4: Simplify right side
    112,161x = 57,967,785,225
  5. Step 5: Solve for x
    x = 57,967,785,225/112,161
  6. Step 6: Final answer
    x = 516,826.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.