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Finding the Third Proportional to 303,183 and 660,153.75

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Solution

The third proportional to 303,183 and 660,153.75 is: 1,437,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,183 : 660,153.75 = 660,153.75 : x
  2. Step 2: Convert to fraction form
    303,183/660,153.75 = 660,153.75/x
  3. Step 3: Cross multiply
    303,183x = 660,153.75 × 660,153.75
  4. Step 4: Simplify right side
    303,183x = 435,802,973,639.06
  5. Step 5: Solve for x
    x = 435,802,973,639.06/303,183
  6. Step 6: Final answer
    x = 1,437,425.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.