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Finding the Third Proportional to 178,416 and 384,096

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Solution

The third proportional to 178,416 and 384,096 is: 826,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,416 : 384,096 = 384,096 : x
  2. Step 2: Convert to fraction form
    178,416/384,096 = 384,096/x
  3. Step 3: Cross multiply
    178,416x = 384,096 × 384,096
  4. Step 4: Simplify right side
    178,416x = 147,529,737,216
  5. Step 5: Solve for x
    x = 147,529,737,216/178,416
  6. Step 6: Final answer
    x = 826,886.25

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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.