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Finding the Third Proportional to 151,922.50 and 331,180.50

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Solution

The third proportional to 151,922.50 and 331,180.50 is: 721,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,922.50 : 331,180.50 = 331,180.50 : x
  2. Step 2: Convert to fraction form
    151,922.50/331,180.50 = 331,180.50/x
  3. Step 3: Cross multiply
    151,922.50x = 331,180.50 × 331,180.50
  4. Step 4: Simplify right side
    151,922.50x = 109,680,523,580.25
  5. Step 5: Solve for x
    x = 109,680,523,580.25/151,922.50
  6. Step 6: Final answer
    x = 721,950.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.