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Finding the Third Proportional to 140,284 and 303,896

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Solution

The third proportional to 140,284 and 303,896 is: 658,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,284 : 303,896 = 303,896 : x
  2. Step 2: Convert to fraction form
    140,284/303,896 = 303,896/x
  3. Step 3: Cross multiply
    140,284x = 303,896 × 303,896
  4. Step 4: Simplify right side
    140,284x = 92,352,778,816
  5. Step 5: Solve for x
    x = 92,352,778,816/140,284
  6. Step 6: Final answer
    x = 658,327.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.