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Finding the Third Proportional to 150,961.50 and 308,477.25

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Solution

The third proportional to 150,961.50 and 308,477.25 is: 630,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,961.50 : 308,477.25 = 308,477.25 : x
  2. Step 2: Convert to fraction form
    150,961.50/308,477.25 = 308,477.25/x
  3. Step 3: Cross multiply
    150,961.50x = 308,477.25 × 308,477.25
  4. Step 4: Simplify right side
    150,961.50x = 95,158,213,767.56
  5. Step 5: Solve for x
    x = 95,158,213,767.56/150,961.50
  6. Step 6: Final answer
    x = 630,347.56

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.