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Finding the Third Proportional to 183,192 and 386,064

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Solution

The third proportional to 183,192 and 386,064 is: 813,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,192 : 386,064 = 386,064 : x
  2. Step 2: Convert to fraction form
    183,192/386,064 = 386,064/x
  3. Step 3: Cross multiply
    183,192x = 386,064 × 386,064
  4. Step 4: Simplify right side
    183,192x = 149,045,412,096
  5. Step 5: Solve for x
    x = 149,045,412,096/183,192
  6. Step 6: Final answer
    x = 813,602.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.