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Finding the Third Proportional to 182,024 and 284,919

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Solution

The third proportional to 182,024 and 284,919 is: 445,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,024 : 284,919 = 284,919 : x
  2. Step 2: Convert to fraction form
    182,024/284,919 = 284,919/x
  3. Step 3: Cross multiply
    182,024x = 284,919 × 284,919
  4. Step 4: Simplify right side
    182,024x = 81,178,836,561
  5. Step 5: Solve for x
    x = 81,178,836,561/182,024
  6. Step 6: Final answer
    x = 445,978.75

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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.