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Finding the Third Proportional to 178,790 and 263,247

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Solution

The third proportional to 178,790 and 263,247 is: 387,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,790 : 263,247 = 263,247 : x
  2. Step 2: Convert to fraction form
    178,790/263,247 = 263,247/x
  3. Step 3: Cross multiply
    178,790x = 263,247 × 263,247
  4. Step 4: Simplify right side
    178,790x = 69,298,983,009
  5. Step 5: Solve for x
    x = 69,298,983,009/178,790
  6. Step 6: Final answer
    x = 387,599.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.