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Finding the Third Proportional to 85,834 and 186,446

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Solution

The third proportional to 85,834 and 186,446 is: 404,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,834 : 186,446 = 186,446 : x
  2. Step 2: Convert to fraction form
    85,834/186,446 = 186,446/x
  3. Step 3: Cross multiply
    85,834x = 186,446 × 186,446
  4. Step 4: Simplify right side
    85,834x = 34,762,110,916
  5. Step 5: Solve for x
    x = 34,762,110,916/85,834
  6. Step 6: Final answer
    x = 404,992.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.