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Finding the Third Proportional to 140,761 and 218,141

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Solution

The third proportional to 140,761 and 218,141 is: 338,058.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,761 : 218,141 = 218,141 : x
  2. Step 2: Convert to fraction form
    140,761/218,141 = 218,141/x
  3. Step 3: Cross multiply
    140,761x = 218,141 × 218,141
  4. Step 4: Simplify right side
    140,761x = 47,585,495,881
  5. Step 5: Solve for x
    x = 47,585,495,881/140,761
  6. Step 6: Final answer
    x = 338,058.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.