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Finding the Third Proportional to 151,978 and 333,116

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Solution

The third proportional to 151,978 and 333,116 is: 730,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,978 : 333,116 = 333,116 : x
  2. Step 2: Convert to fraction form
    151,978/333,116 = 333,116/x
  3. Step 3: Cross multiply
    151,978x = 333,116 × 333,116
  4. Step 4: Simplify right side
    151,978x = 110,966,269,456
  5. Step 5: Solve for x
    x = 110,966,269,456/151,978
  6. Step 6: Final answer
    x = 730,146.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.