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Finding the Third Proportional to 86,052 and 185,286

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Solution

The third proportional to 86,052 and 185,286 is: 398,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,052 : 185,286 = 185,286 : x
  2. Step 2: Convert to fraction form
    86,052/185,286 = 185,286/x
  3. Step 3: Cross multiply
    86,052x = 185,286 × 185,286
  4. Step 4: Simplify right side
    86,052x = 34,330,901,796
  5. Step 5: Solve for x
    x = 34,330,901,796/86,052
  6. Step 6: Final answer
    x = 398,955.30

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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.