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Finding the Third Proportional to 151,828.88 and 332,259.75

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Solution

The third proportional to 151,828.88 and 332,259.75 is: 727,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,828.88 : 332,259.75 = 332,259.75 : x
  2. Step 2: Convert to fraction form
    151,828.88/332,259.75 = 332,259.75/x
  3. Step 3: Cross multiply
    151,828.88x = 332,259.75 × 332,259.75
  4. Step 4: Simplify right side
    151,828.88x = 110,396,541,470.06
  5. Step 5: Solve for x
    x = 110,396,541,470.06/151,828.88
  6. Step 6: Final answer
    x = 727,111.63

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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.