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Finding the Third Proportional to 149,926.25 and 322,084

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Solution

The third proportional to 149,926.25 and 322,084 is: 691,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,926.25 : 322,084 = 322,084 : x
  2. Step 2: Convert to fraction form
    149,926.25/322,084 = 322,084/x
  3. Step 3: Cross multiply
    149,926.25x = 322,084 × 322,084
  4. Step 4: Simplify right side
    149,926.25x = 103,738,103,056
  5. Step 5: Solve for x
    x = 103,738,103,056/149,926.25
  6. Step 6: Final answer
    x = 691,927.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.