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Finding the Third Proportional to 158,274 and 322,409.25

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Solution

The third proportional to 158,274 and 322,409.25 is: 656,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,274 : 322,409.25 = 322,409.25 : x
  2. Step 2: Convert to fraction form
    158,274/322,409.25 = 322,409.25/x
  3. Step 3: Cross multiply
    158,274x = 322,409.25 × 322,409.25
  4. Step 4: Simplify right side
    158,274x = 103,947,724,485.56
  5. Step 5: Solve for x
    x = 103,947,724,485.56/158,274
  6. Step 6: Final answer
    x = 656,758.06

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.