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Finding the Third Proportional to 86,814 and 178,236

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Solution

The third proportional to 86,814 and 178,236 is: 365,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,814 : 178,236 = 178,236 : x
  2. Step 2: Convert to fraction form
    86,814/178,236 = 178,236/x
  3. Step 3: Cross multiply
    86,814x = 178,236 × 178,236
  4. Step 4: Simplify right side
    86,814x = 31,768,071,696
  5. Step 5: Solve for x
    x = 31,768,071,696/86,814
  6. Step 6: Final answer
    x = 365,932.59

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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.