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Finding the Third Proportional to 189,857.50 and 404,255

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Solution

The third proportional to 189,857.50 and 404,255 is: 860,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,857.50 : 404,255 = 404,255 : x
  2. Step 2: Convert to fraction form
    189,857.50/404,255 = 404,255/x
  3. Step 3: Cross multiply
    189,857.50x = 404,255 × 404,255
  4. Step 4: Simplify right side
    189,857.50x = 163,422,105,025
  5. Step 5: Solve for x
    x = 163,422,105,025/189,857.50
  6. Step 6: Final answer
    x = 860,761.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.