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Finding the Third Proportional to 151,251 and 199,648.50

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Solution

The third proportional to 151,251 and 199,648.50 is: 263,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,251 : 199,648.50 = 199,648.50 : x
  2. Step 2: Convert to fraction form
    151,251/199,648.50 = 199,648.50/x
  3. Step 3: Cross multiply
    151,251x = 199,648.50 × 199,648.50
  4. Step 4: Simplify right side
    151,251x = 39,859,523,552.25
  5. Step 5: Solve for x
    x = 39,859,523,552.25/151,251
  6. Step 6: Final answer
    x = 263,532.30

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.