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Finding the Third Proportional to 183,951.47 and 394,499.35

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Solution

The third proportional to 183,951.47 and 394,499.35 is: 846,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,951.47 : 394,499.35 = 394,499.35 : x
  2. Step 2: Convert to fraction form
    183,951.47/394,499.35 = 394,499.35/x
  3. Step 3: Cross multiply
    183,951.47x = 394,499.35 × 394,499.35
  4. Step 4: Simplify right side
    183,951.47x = 155,629,734,530.69
  5. Step 5: Solve for x
    x = 155,629,734,530.69/183,951.47
  6. Step 6: Final answer
    x = 846,036.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.