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Finding the Third Proportional to 179,688 and 281,036

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Solution

The third proportional to 179,688 and 281,036 is: 439,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,688 : 281,036 = 281,036 : x
  2. Step 2: Convert to fraction form
    179,688/281,036 = 281,036/x
  3. Step 3: Cross multiply
    179,688x = 281,036 × 281,036
  4. Step 4: Simplify right side
    179,688x = 78,981,233,296
  5. Step 5: Solve for x
    x = 78,981,233,296/179,688
  6. Step 6: Final answer
    x = 439,546.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.