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Finding the Third Proportional to 114,540.33 and 241,800.19

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Solution

The third proportional to 114,540.33 and 241,800.19 is: 510,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,540.33 : 241,800.19 = 241,800.19 : x
  2. Step 2: Convert to fraction form
    114,540.33/241,800.19 = 241,800.19/x
  3. Step 3: Cross multiply
    114,540.33x = 241,800.19 × 241,800.19
  4. Step 4: Simplify right side
    114,540.33x = 58,467,330,675.04
  5. Step 5: Solve for x
    x = 58,467,330,675.04/114,540.33
  6. Step 6: Final answer
    x = 510,451.92

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.