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Finding the Third Proportional to 151,902 and 332,399.25

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Solution

The third proportional to 151,902 and 332,399.25 is: 727,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,902 : 332,399.25 = 332,399.25 : x
  2. Step 2: Convert to fraction form
    151,902/332,399.25 = 332,399.25/x
  3. Step 3: Cross multiply
    151,902x = 332,399.25 × 332,399.25
  4. Step 4: Simplify right side
    151,902x = 110,489,261,400.56
  5. Step 5: Solve for x
    x = 110,489,261,400.56/151,902
  6. Step 6: Final answer
    x = 727,372.00

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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.