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Finding the Third Proportional to 149,047.50 and 221,546.25

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Solution

The third proportional to 149,047.50 and 221,546.25 is: 329,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,047.50 : 221,546.25 = 221,546.25 : x
  2. Step 2: Convert to fraction form
    149,047.50/221,546.25 = 221,546.25/x
  3. Step 3: Cross multiply
    149,047.50x = 221,546.25 × 221,546.25
  4. Step 4: Simplify right side
    149,047.50x = 49,082,740,889.06
  5. Step 5: Solve for x
    x = 49,082,740,889.06/149,047.50
  6. Step 6: Final answer
    x = 329,309.39

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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.