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Finding the Third Proportional to 183,222 and 394,146

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Solution

The third proportional to 183,222 and 394,146 is: 847,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,222 : 394,146 = 394,146 : x
  2. Step 2: Convert to fraction form
    183,222/394,146 = 394,146/x
  3. Step 3: Cross multiply
    183,222x = 394,146 × 394,146
  4. Step 4: Simplify right side
    183,222x = 155,351,069,316
  5. Step 5: Solve for x
    x = 155,351,069,316/183,222
  6. Step 6: Final answer
    x = 847,884.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.