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Finding the Third Proportional to 149,475 and 222,084

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Solution

The third proportional to 149,475 and 222,084 is: 329,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,475 : 222,084 = 222,084 : x
  2. Step 2: Convert to fraction form
    149,475/222,084 = 222,084/x
  3. Step 3: Cross multiply
    149,475x = 222,084 × 222,084
  4. Step 4: Simplify right side
    149,475x = 49,321,303,056
  5. Step 5: Solve for x
    x = 49,321,303,056/149,475
  6. Step 6: Final answer
    x = 329,963.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.