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Finding the Third Proportional to 118,851 and 263,946

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Solution

The third proportional to 118,851 and 263,946 is: 586,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,851 : 263,946 = 263,946 : x
  2. Step 2: Convert to fraction form
    118,851/263,946 = 263,946/x
  3. Step 3: Cross multiply
    118,851x = 263,946 × 263,946
  4. Step 4: Simplify right side
    118,851x = 69,667,490,916
  5. Step 5: Solve for x
    x = 69,667,490,916/118,851
  6. Step 6: Final answer
    x = 586,175.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.