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Finding the Third Proportional to 150,906.75 and 211,509.75

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Solution

The third proportional to 150,906.75 and 211,509.75 is: 296,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,906.75 : 211,509.75 = 211,509.75 : x
  2. Step 2: Convert to fraction form
    150,906.75/211,509.75 = 211,509.75/x
  3. Step 3: Cross multiply
    150,906.75x = 211,509.75 × 211,509.75
  4. Step 4: Simplify right side
    150,906.75x = 44,736,374,345.06
  5. Step 5: Solve for x
    x = 44,736,374,345.06/150,906.75
  6. Step 6: Final answer
    x = 296,450.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.