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Finding the Third Proportional to 149,328 and 322,728

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Solution

The third proportional to 149,328 and 322,728 is: 697,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,328 : 322,728 = 322,728 : x
  2. Step 2: Convert to fraction form
    149,328/322,728 = 322,728/x
  3. Step 3: Cross multiply
    149,328x = 322,728 × 322,728
  4. Step 4: Simplify right side
    149,328x = 104,153,361,984
  5. Step 5: Solve for x
    x = 104,153,361,984/149,328
  6. Step 6: Final answer
    x = 697,480.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.