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Finding the Third Proportional to 189,375.75 and 405,352.13

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Solution

The third proportional to 189,375.75 and 405,352.13 is: 867,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,375.75 : 405,352.13 = 405,352.13 : x
  2. Step 2: Convert to fraction form
    189,375.75/405,352.13 = 405,352.13/x
  3. Step 3: Cross multiply
    189,375.75x = 405,352.13 × 405,352.13
  4. Step 4: Simplify right side
    189,375.75x = 164,310,345,242.02
  5. Step 5: Solve for x
    x = 164,310,345,242.02/189,375.75
  6. Step 6: Final answer
    x = 867,641.95

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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.