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Finding the Third Proportional to 149,576 and 222,014

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Solution

The third proportional to 149,576 and 222,014 is: 329,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,576 : 222,014 = 222,014 : x
  2. Step 2: Convert to fraction form
    149,576/222,014 = 222,014/x
  3. Step 3: Cross multiply
    149,576x = 222,014 × 222,014
  4. Step 4: Simplify right side
    149,576x = 49,290,216,196
  5. Step 5: Solve for x
    x = 49,290,216,196/149,576
  6. Step 6: Final answer
    x = 329,532.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.