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Finding the Third Proportional to 183,454.50 and 394,036.50

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Solution

The third proportional to 183,454.50 and 394,036.50 is: 846,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,454.50 : 394,036.50 = 394,036.50 : x
  2. Step 2: Convert to fraction form
    183,454.50/394,036.50 = 394,036.50/x
  3. Step 3: Cross multiply
    183,454.50x = 394,036.50 × 394,036.50
  4. Step 4: Simplify right side
    183,454.50x = 155,264,763,332.25
  5. Step 5: Solve for x
    x = 155,264,763,332.25/183,454.50
  6. Step 6: Final answer
    x = 846,339.36

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