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Finding the Third Proportional to 140,098 and 209,652

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Solution

The third proportional to 140,098 and 209,652 is: 313,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,098 : 209,652 = 209,652 : x
  2. Step 2: Convert to fraction form
    140,098/209,652 = 209,652/x
  3. Step 3: Cross multiply
    140,098x = 209,652 × 209,652
  4. Step 4: Simplify right side
    140,098x = 43,953,961,104
  5. Step 5: Solve for x
    x = 43,953,961,104/140,098
  6. Step 6: Final answer
    x = 313,737.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.