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Finding the Third Proportional to 178,660 and 383,230

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Solution

The third proportional to 178,660 and 383,230 is: 822,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,660 : 383,230 = 383,230 : x
  2. Step 2: Convert to fraction form
    178,660/383,230 = 383,230/x
  3. Step 3: Cross multiply
    178,660x = 383,230 × 383,230
  4. Step 4: Simplify right side
    178,660x = 146,865,232,900
  5. Step 5: Solve for x
    x = 146,865,232,900/178,660
  6. Step 6: Final answer
    x = 822,037.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.