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Finding the Third Proportional to 194,206 and 293,092

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Solution

The third proportional to 194,206 and 293,092 is: 442,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,206 : 293,092 = 293,092 : x
  2. Step 2: Convert to fraction form
    194,206/293,092 = 293,092/x
  3. Step 3: Cross multiply
    194,206x = 293,092 × 293,092
  4. Step 4: Simplify right side
    194,206x = 85,902,920,464
  5. Step 5: Solve for x
    x = 85,902,920,464/194,206
  6. Step 6: Final answer
    x = 442,328.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.