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Finding the Third Proportional to 149,529 and 222,133.50

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Solution

The third proportional to 149,529 and 222,133.50 is: 329,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,529 : 222,133.50 = 222,133.50 : x
  2. Step 2: Convert to fraction form
    149,529/222,133.50 = 222,133.50/x
  3. Step 3: Cross multiply
    149,529x = 222,133.50 × 222,133.50
  4. Step 4: Simplify right side
    149,529x = 49,343,291,822.25
  5. Step 5: Solve for x
    x = 49,343,291,822.25/149,529
  6. Step 6: Final answer
    x = 329,991.45

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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.