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Finding the Third Proportional to 178,110 and 284,013

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Solution

The third proportional to 178,110 and 284,013 is: 452,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,110 : 284,013 = 284,013 : x
  2. Step 2: Convert to fraction form
    178,110/284,013 = 284,013/x
  3. Step 3: Cross multiply
    178,110x = 284,013 × 284,013
  4. Step 4: Simplify right side
    178,110x = 80,663,384,169
  5. Step 5: Solve for x
    x = 80,663,384,169/178,110
  6. Step 6: Final answer
    x = 452,885.21

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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.