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Finding the Third Proportional to 92,466 and 194,328

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Solution

The third proportional to 92,466 and 194,328 is: 408,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,466 : 194,328 = 194,328 : x
  2. Step 2: Convert to fraction form
    92,466/194,328 = 194,328/x
  3. Step 3: Cross multiply
    92,466x = 194,328 × 194,328
  4. Step 4: Simplify right side
    92,466x = 37,763,371,584
  5. Step 5: Solve for x
    x = 37,763,371,584/92,466
  6. Step 6: Final answer
    x = 408,402.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.