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Finding the Third Proportional to 117,498.94 and 241,219.69

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Solution

The third proportional to 117,498.94 and 241,219.69 is: 495,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,498.94 : 241,219.69 = 241,219.69 : x
  2. Step 2: Convert to fraction form
    117,498.94/241,219.69 = 241,219.69/x
  3. Step 3: Cross multiply
    117,498.94x = 241,219.69 × 241,219.69
  4. Step 4: Simplify right side
    117,498.94x = 58,186,937,637.60
  5. Step 5: Solve for x
    x = 58,186,937,637.60/117,498.94
  6. Step 6: Final answer
    x = 495,212.46

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.