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Finding the Third Proportional to 92,312 and 200,824

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Solution

The third proportional to 92,312 and 200,824 is: 436,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,312 : 200,824 = 200,824 : x
  2. Step 2: Convert to fraction form
    92,312/200,824 = 200,824/x
  3. Step 3: Cross multiply
    92,312x = 200,824 × 200,824
  4. Step 4: Simplify right side
    92,312x = 40,330,278,976
  5. Step 5: Solve for x
    x = 40,330,278,976/92,312
  6. Step 6: Final answer
    x = 436,890.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.