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Finding the Third Proportional to 183,014 and 395,188

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Solution

The third proportional to 183,014 and 395,188 is: 853,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,014 : 395,188 = 395,188 : x
  2. Step 2: Convert to fraction form
    183,014/395,188 = 395,188/x
  3. Step 3: Cross multiply
    183,014x = 395,188 × 395,188
  4. Step 4: Simplify right side
    183,014x = 156,173,555,344
  5. Step 5: Solve for x
    x = 156,173,555,344/183,014
  6. Step 6: Final answer
    x = 853,342.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.