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Finding the Third Proportional to 237,194 and 366,267

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Solution

The third proportional to 237,194 and 366,267 is: 565,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,194 : 366,267 = 366,267 : x
  2. Step 2: Convert to fraction form
    237,194/366,267 = 366,267/x
  3. Step 3: Cross multiply
    237,194x = 366,267 × 366,267
  4. Step 4: Simplify right side
    237,194x = 134,151,515,289
  5. Step 5: Solve for x
    x = 134,151,515,289/237,194
  6. Step 6: Final answer
    x = 565,577.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.