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Finding the Third Proportional to 237,635 and 322,837

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Solution

The third proportional to 237,635 and 322,837 is: 438,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,635 : 322,837 = 322,837 : x
  2. Step 2: Convert to fraction form
    237,635/322,837 = 322,837/x
  3. Step 3: Cross multiply
    237,635x = 322,837 × 322,837
  4. Step 4: Simplify right side
    237,635x = 104,223,728,569
  5. Step 5: Solve for x
    x = 104,223,728,569/237,635
  6. Step 6: Final answer
    x = 438,587.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.