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Finding the Third Proportional to 152,759 and 335,610

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Solution

The third proportional to 152,759 and 335,610 is: 737,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,759 : 335,610 = 335,610 : x
  2. Step 2: Convert to fraction form
    152,759/335,610 = 335,610/x
  3. Step 3: Cross multiply
    152,759x = 335,610 × 335,610
  4. Step 4: Simplify right side
    152,759x = 112,634,072,100
  5. Step 5: Solve for x
    x = 112,634,072,100/152,759
  6. Step 6: Final answer
    x = 737,331.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.