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Finding the Third Proportional to 115,710 and 250,716

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Solution

The third proportional to 115,710 and 250,716 is: 543,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,710 : 250,716 = 250,716 : x
  2. Step 2: Convert to fraction form
    115,710/250,716 = 250,716/x
  3. Step 3: Cross multiply
    115,710x = 250,716 × 250,716
  4. Step 4: Simplify right side
    115,710x = 62,858,512,656
  5. Step 5: Solve for x
    x = 62,858,512,656/115,710
  6. Step 6: Final answer
    x = 543,241.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.