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Finding the Third Proportional to 236,790 and 361,094

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Solution

The third proportional to 236,790 and 361,094 is: 550,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,790 : 361,094 = 361,094 : x
  2. Step 2: Convert to fraction form
    236,790/361,094 = 361,094/x
  3. Step 3: Cross multiply
    236,790x = 361,094 × 361,094
  4. Step 4: Simplify right side
    236,790x = 130,388,876,836
  5. Step 5: Solve for x
    x = 130,388,876,836/236,790
  6. Step 6: Final answer
    x = 550,651.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.