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Finding the Third Proportional to 192,264.75 and 420,736.50

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Solution

The third proportional to 192,264.75 and 420,736.50 is: 920,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,264.75 : 420,736.50 = 420,736.50 : x
  2. Step 2: Convert to fraction form
    192,264.75/420,736.50 = 420,736.50/x
  3. Step 3: Cross multiply
    192,264.75x = 420,736.50 × 420,736.50
  4. Step 4: Simplify right side
    192,264.75x = 177,019,202,432.25
  5. Step 5: Solve for x
    x = 177,019,202,432.25/192,264.75
  6. Step 6: Final answer
    x = 920,705.45

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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.