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Finding the Third Proportional to 182,023 and 284,917

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Solution

The third proportional to 182,023 and 284,917 is: 445,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,023 : 284,917 = 284,917 : x
  2. Step 2: Convert to fraction form
    182,023/284,917 = 284,917/x
  3. Step 3: Cross multiply
    182,023x = 284,917 × 284,917
  4. Step 4: Simplify right side
    182,023x = 81,177,696,889
  5. Step 5: Solve for x
    x = 81,177,696,889/182,023
  6. Step 6: Final answer
    x = 445,974.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.