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Finding the Third Proportional to 86,840 and 189,286

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Solution

The third proportional to 86,840 and 189,286 is: 412,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,840 : 189,286 = 189,286 : x
  2. Step 2: Convert to fraction form
    86,840/189,286 = 189,286/x
  3. Step 3: Cross multiply
    86,840x = 189,286 × 189,286
  4. Step 4: Simplify right side
    86,840x = 35,829,189,796
  5. Step 5: Solve for x
    x = 35,829,189,796/86,840
  6. Step 6: Final answer
    x = 412,588.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.