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Finding the Third Proportional to 152,155.97 and 333,016.31

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Solution

The third proportional to 152,155.97 and 333,016.31 is: 728,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,155.97 : 333,016.31 = 333,016.31 : x
  2. Step 2: Convert to fraction form
    152,155.97/333,016.31 = 333,016.31/x
  3. Step 3: Cross multiply
    152,155.97x = 333,016.31 × 333,016.31
  4. Step 4: Simplify right side
    152,155.97x = 110,899,864,391.10
  5. Step 5: Solve for x
    x = 110,899,864,391.10/152,155.97
  6. Step 6: Final answer
    x = 728,856.48

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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.