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Finding the Third Proportional to 178,640 and 276,482

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Solution

The third proportional to 178,640 and 276,482 is: 427,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,640 : 276,482 = 276,482 : x
  2. Step 2: Convert to fraction form
    178,640/276,482 = 276,482/x
  3. Step 3: Cross multiply
    178,640x = 276,482 × 276,482
  4. Step 4: Simplify right side
    178,640x = 76,442,296,324
  5. Step 5: Solve for x
    x = 76,442,296,324/178,640
  6. Step 6: Final answer
    x = 427,912.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.