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Finding the Third Proportional to 145,194 and 303,690

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Solution

The third proportional to 145,194 and 303,690 is: 635,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,194 : 303,690 = 303,690 : x
  2. Step 2: Convert to fraction form
    145,194/303,690 = 303,690/x
  3. Step 3: Cross multiply
    145,194x = 303,690 × 303,690
  4. Step 4: Simplify right side
    145,194x = 92,227,616,100
  5. Step 5: Solve for x
    x = 92,227,616,100/145,194
  6. Step 6: Final answer
    x = 635,202.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.