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Finding the Third Proportional to 140,991.75 and 218,421

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Solution

The third proportional to 140,991.75 and 218,421 is: 338,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,991.75 : 218,421 = 218,421 : x
  2. Step 2: Convert to fraction form
    140,991.75/218,421 = 218,421/x
  3. Step 3: Cross multiply
    140,991.75x = 218,421 × 218,421
  4. Step 4: Simplify right side
    140,991.75x = 47,707,733,241
  5. Step 5: Solve for x
    x = 47,707,733,241/140,991.75
  6. Step 6: Final answer
    x = 338,372.52

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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.