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Finding the Third Proportional to 150,888.75 and 209,181.75

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Solution

The third proportional to 150,888.75 and 209,181.75 is: 289,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,888.75 : 209,181.75 = 209,181.75 : x
  2. Step 2: Convert to fraction form
    150,888.75/209,181.75 = 209,181.75/x
  3. Step 3: Cross multiply
    150,888.75x = 209,181.75 × 209,181.75
  4. Step 4: Simplify right side
    150,888.75x = 43,757,004,533.06
  5. Step 5: Solve for x
    x = 43,757,004,533.06/150,888.75
  6. Step 6: Final answer
    x = 289,995.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.