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Finding the Third Proportional to 178,076 and 383,800

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Solution

The third proportional to 178,076 and 383,800 is: 827,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,076 : 383,800 = 383,800 : x
  2. Step 2: Convert to fraction form
    178,076/383,800 = 383,800/x
  3. Step 3: Cross multiply
    178,076x = 383,800 × 383,800
  4. Step 4: Simplify right side
    178,076x = 147,302,440,000
  5. Step 5: Solve for x
    x = 147,302,440,000/178,076
  6. Step 6: Final answer
    x = 827,188.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.