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Finding the Third Proportional to 140,925.25 and 218,116

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Solution

The third proportional to 140,925.25 and 218,116 is: 337,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,925.25 : 218,116 = 218,116 : x
  2. Step 2: Convert to fraction form
    140,925.25/218,116 = 218,116/x
  3. Step 3: Cross multiply
    140,925.25x = 218,116 × 218,116
  4. Step 4: Simplify right side
    140,925.25x = 47,574,589,456
  5. Step 5: Solve for x
    x = 47,574,589,456/140,925.25
  6. Step 6: Final answer
    x = 337,587.41

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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.