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Finding the Third Proportional to 237,349 and 367,388

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Solution

The third proportional to 237,349 and 367,388 is: 568,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,349 : 367,388 = 367,388 : x
  2. Step 2: Convert to fraction form
    237,349/367,388 = 367,388/x
  3. Step 3: Cross multiply
    237,349x = 367,388 × 367,388
  4. Step 4: Simplify right side
    237,349x = 134,973,942,544
  5. Step 5: Solve for x
    x = 134,973,942,544/237,349
  6. Step 6: Final answer
    x = 568,672.89

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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.