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Finding the Third Proportional to 237,351 and 367,391

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Solution

The third proportional to 237,351 and 367,391 is: 568,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,351 : 367,391 = 367,391 : x
  2. Step 2: Convert to fraction form
    237,351/367,391 = 367,391/x
  3. Step 3: Cross multiply
    237,351x = 367,391 × 367,391
  4. Step 4: Simplify right side
    237,351x = 134,976,146,881
  5. Step 5: Solve for x
    x = 134,976,146,881/237,351
  6. Step 6: Final answer
    x = 568,677.39

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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.