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Finding the Third Proportional to 115,550 and 240,172

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Solution

The third proportional to 115,550 and 240,172 is: 499,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,550 : 240,172 = 240,172 : x
  2. Step 2: Convert to fraction form
    115,550/240,172 = 240,172/x
  3. Step 3: Cross multiply
    115,550x = 240,172 × 240,172
  4. Step 4: Simplify right side
    115,550x = 57,682,589,584
  5. Step 5: Solve for x
    x = 57,682,589,584/115,550
  6. Step 6: Final answer
    x = 499,200.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.