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Finding the Third Proportional to 227,376 and 378,936

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Solution

The third proportional to 227,376 and 378,936 is: 631,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,376 : 378,936 = 378,936 : x
  2. Step 2: Convert to fraction form
    227,376/378,936 = 378,936/x
  3. Step 3: Cross multiply
    227,376x = 378,936 × 378,936
  4. Step 4: Simplify right side
    227,376x = 143,592,492,096
  5. Step 5: Solve for x
    x = 143,592,492,096/227,376
  6. Step 6: Final answer
    x = 631,520.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.