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Finding the Third Proportional to 86,596 and 177,288

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Solution

The third proportional to 86,596 and 177,288 is: 362,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,596 : 177,288 = 177,288 : x
  2. Step 2: Convert to fraction form
    86,596/177,288 = 177,288/x
  3. Step 3: Cross multiply
    86,596x = 177,288 × 177,288
  4. Step 4: Simplify right side
    86,596x = 31,431,034,944
  5. Step 5: Solve for x
    x = 31,431,034,944/86,596
  6. Step 6: Final answer
    x = 362,961.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.