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Finding the Third Proportional to 238,608 and 322,896

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Solution

The third proportional to 238,608 and 322,896 is: 436,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,608 : 322,896 = 322,896 : x
  2. Step 2: Convert to fraction form
    238,608/322,896 = 322,896/x
  3. Step 3: Cross multiply
    238,608x = 322,896 × 322,896
  4. Step 4: Simplify right side
    238,608x = 104,261,826,816
  5. Step 5: Solve for x
    x = 104,261,826,816/238,608
  6. Step 6: Final answer
    x = 436,958.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.