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Finding the Third Proportional to 86,474 and 189,350

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Solution

The third proportional to 86,474 and 189,350 is: 414,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,474 : 189,350 = 189,350 : x
  2. Step 2: Convert to fraction form
    86,474/189,350 = 189,350/x
  3. Step 3: Cross multiply
    86,474x = 189,350 × 189,350
  4. Step 4: Simplify right side
    86,474x = 35,853,422,500
  5. Step 5: Solve for x
    x = 35,853,422,500/86,474
  6. Step 6: Final answer
    x = 414,615.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.