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Finding the Third Proportional to 237,915 and 322,962

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Solution

The third proportional to 237,915 and 322,962 is: 438,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,915 : 322,962 = 322,962 : x
  2. Step 2: Convert to fraction form
    237,915/322,962 = 322,962/x
  3. Step 3: Cross multiply
    237,915x = 322,962 × 322,962
  4. Step 4: Simplify right side
    237,915x = 104,304,453,444
  5. Step 5: Solve for x
    x = 104,304,453,444/237,915
  6. Step 6: Final answer
    x = 438,410.58

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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.