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Finding the Third Proportional to 154,055 and 333,382

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Solution

The third proportional to 154,055 and 333,382 is: 721,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,055 : 333,382 = 333,382 : x
  2. Step 2: Convert to fraction form
    154,055/333,382 = 333,382/x
  3. Step 3: Cross multiply
    154,055x = 333,382 × 333,382
  4. Step 4: Simplify right side
    154,055x = 111,143,557,924
  5. Step 5: Solve for x
    x = 111,143,557,924/154,055
  6. Step 6: Final answer
    x = 721,453.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.