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Finding the Third Proportional to 151,215 and 222,441.50

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Solution

The third proportional to 151,215 and 222,441.50 is: 327,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,215 : 222,441.50 = 222,441.50 : x
  2. Step 2: Convert to fraction form
    151,215/222,441.50 = 222,441.50/x
  3. Step 3: Cross multiply
    151,215x = 222,441.50 × 222,441.50
  4. Step 4: Simplify right side
    151,215x = 49,480,220,922.25
  5. Step 5: Solve for x
    x = 49,480,220,922.25/151,215
  6. Step 6: Final answer
    x = 327,217.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.