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Finding the Third Proportional to 237,204 and 366,889

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Solution

The third proportional to 237,204 and 366,889 is: 567,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,204 : 366,889 = 366,889 : x
  2. Step 2: Convert to fraction form
    237,204/366,889 = 366,889/x
  3. Step 3: Cross multiply
    237,204x = 366,889 × 366,889
  4. Step 4: Simplify right side
    237,204x = 134,607,538,321
  5. Step 5: Solve for x
    x = 134,607,538,321/237,204
  6. Step 6: Final answer
    x = 567,475.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.