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Finding the Third Proportional to 118,890 and 241,931

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Solution

The third proportional to 118,890 and 241,931 is: 492,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,890 : 241,931 = 241,931 : x
  2. Step 2: Convert to fraction form
    118,890/241,931 = 241,931/x
  3. Step 3: Cross multiply
    118,890x = 241,931 × 241,931
  4. Step 4: Simplify right side
    118,890x = 58,530,608,761
  5. Step 5: Solve for x
    x = 58,530,608,761/118,890
  6. Step 6: Final answer
    x = 492,308.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.