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Finding the Third Proportional to 140,217 and 303,042

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Solution

The third proportional to 140,217 and 303,042 is: 654,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,217 : 303,042 = 303,042 : x
  2. Step 2: Convert to fraction form
    140,217/303,042 = 303,042/x
  3. Step 3: Cross multiply
    140,217x = 303,042 × 303,042
  4. Step 4: Simplify right side
    140,217x = 91,834,453,764
  5. Step 5: Solve for x
    x = 91,834,453,764/140,217
  6. Step 6: Final answer
    x = 654,945.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.