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Finding the Third Proportional to 149,455 and 222,064

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Solution

The third proportional to 149,455 and 222,064 is: 329,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,455 : 222,064 = 222,064 : x
  2. Step 2: Convert to fraction form
    149,455/222,064 = 222,064/x
  3. Step 3: Cross multiply
    149,455x = 222,064 × 222,064
  4. Step 4: Simplify right side
    149,455x = 49,312,420,096
  5. Step 5: Solve for x
    x = 49,312,420,096/149,455
  6. Step 6: Final answer
    x = 329,948.28

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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.