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Finding the Third Proportional to 178,634 and 284,351

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Solution

The third proportional to 178,634 and 284,351 is: 452,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,634 : 284,351 = 284,351 : x
  2. Step 2: Convert to fraction form
    178,634/284,351 = 284,351/x
  3. Step 3: Cross multiply
    178,634x = 284,351 × 284,351
  4. Step 4: Simplify right side
    178,634x = 80,855,491,201
  5. Step 5: Solve for x
    x = 80,855,491,201/178,634
  6. Step 6: Final answer
    x = 452,632.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.