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Finding the Third Proportional to 118,667.81 and 241,742.25

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Solution

The third proportional to 118,667.81 and 241,742.25 is: 492,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,667.81 : 241,742.25 = 241,742.25 : x
  2. Step 2: Convert to fraction form
    118,667.81/241,742.25 = 241,742.25/x
  3. Step 3: Cross multiply
    118,667.81x = 241,742.25 × 241,742.25
  4. Step 4: Simplify right side
    118,667.81x = 58,439,315,435.06
  5. Step 5: Solve for x
    x = 58,439,315,435.06/118,667.81
  6. Step 6: Final answer
    x = 492,461.39

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.