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Finding the Third Proportional to 148,803.75 and 223,544.25

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Solution

The third proportional to 148,803.75 and 223,544.25 is: 335,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,803.75 : 223,544.25 = 223,544.25 : x
  2. Step 2: Convert to fraction form
    148,803.75/223,544.25 = 223,544.25/x
  3. Step 3: Cross multiply
    148,803.75x = 223,544.25 × 223,544.25
  4. Step 4: Simplify right side
    148,803.75x = 49,972,031,708.06
  5. Step 5: Solve for x
    x = 49,972,031,708.06/148,803.75
  6. Step 6: Final answer
    x = 335,825.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.