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Finding the Third Proportional to 146,574 and 220,249.50

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Solution

The third proportional to 146,574 and 220,249.50 is: 330,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,574 : 220,249.50 = 220,249.50 : x
  2. Step 2: Convert to fraction form
    146,574/220,249.50 = 220,249.50/x
  3. Step 3: Cross multiply
    146,574x = 220,249.50 × 220,249.50
  4. Step 4: Simplify right side
    146,574x = 48,509,842,250.25
  5. Step 5: Solve for x
    x = 48,509,842,250.25/146,574
  6. Step 6: Final answer
    x = 330,958.03

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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.