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Finding the Third Proportional to 158,329 and 333,059

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Solution

The third proportional to 158,329 and 333,059 is: 700,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,329 : 333,059 = 333,059 : x
  2. Step 2: Convert to fraction form
    158,329/333,059 = 333,059/x
  3. Step 3: Cross multiply
    158,329x = 333,059 × 333,059
  4. Step 4: Simplify right side
    158,329x = 110,928,297,481
  5. Step 5: Solve for x
    x = 110,928,297,481/158,329
  6. Step 6: Final answer
    x = 700,618.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.