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Finding the Third Proportional to 178,810 and 383,582

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Solution

The third proportional to 178,810 and 383,582 is: 822,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,810 : 383,582 = 383,582 : x
  2. Step 2: Convert to fraction form
    178,810/383,582 = 383,582/x
  3. Step 3: Cross multiply
    178,810x = 383,582 × 383,582
  4. Step 4: Simplify right side
    178,810x = 147,135,150,724
  5. Step 5: Solve for x
    x = 147,135,150,724/178,810
  6. Step 6: Final answer
    x = 822,857.51

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