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Finding the Third Proportional to 151,974 and 351,821.25

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Solution

The third proportional to 151,974 and 351,821.25 is: 814,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,974 : 351,821.25 = 351,821.25 : x
  2. Step 2: Convert to fraction form
    151,974/351,821.25 = 351,821.25/x
  3. Step 3: Cross multiply
    151,974x = 351,821.25 × 351,821.25
  4. Step 4: Simplify right side
    151,974x = 123,778,191,951.56
  5. Step 5: Solve for x
    x = 123,778,191,951.56/151,974
  6. Step 6: Final answer
    x = 814,469.53

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.