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Finding the Third Proportional to 178,820 and 383,600

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Solution

The third proportional to 178,820 and 383,600 is: 822,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,820 : 383,600 = 383,600 : x
  2. Step 2: Convert to fraction form
    178,820/383,600 = 383,600/x
  3. Step 3: Cross multiply
    178,820x = 383,600 × 383,600
  4. Step 4: Simplify right side
    178,820x = 147,148,960,000
  5. Step 5: Solve for x
    x = 147,148,960,000/178,820
  6. Step 6: Final answer
    x = 822,888.71

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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.