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Finding the Third Proportional to 178,905.38 and 385,836.75

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Solution

The third proportional to 178,905.38 and 385,836.75 is: 832,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,905.38 : 385,836.75 = 385,836.75 : x
  2. Step 2: Convert to fraction form
    178,905.38/385,836.75 = 385,836.75/x
  3. Step 3: Cross multiply
    178,905.38x = 385,836.75 × 385,836.75
  4. Step 4: Simplify right side
    178,905.38x = 148,869,997,650.56
  5. Step 5: Solve for x
    x = 148,869,997,650.56/178,905.38
  6. Step 6: Final answer
    x = 832,115.85

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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.