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Finding the Third Proportional to 170,640 and 238,608

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Solution

The third proportional to 170,640 and 238,608 is: 333,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,640 : 238,608 = 238,608 : x
  2. Step 2: Convert to fraction form
    170,640/238,608 = 238,608/x
  3. Step 3: Cross multiply
    170,640x = 238,608 × 238,608
  4. Step 4: Simplify right side
    170,640x = 56,933,777,664
  5. Step 5: Solve for x
    x = 56,933,777,664/170,640
  6. Step 6: Final answer
    x = 333,648.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.