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Finding the Third Proportional to 221,271 and 335,250

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Solution

The third proportional to 221,271 and 335,250 is: 507,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,271 : 335,250 = 335,250 : x
  2. Step 2: Convert to fraction form
    221,271/335,250 = 335,250/x
  3. Step 3: Cross multiply
    221,271x = 335,250 × 335,250
  4. Step 4: Simplify right side
    221,271x = 112,392,562,500
  5. Step 5: Solve for x
    x = 112,392,562,500/221,271
  6. Step 6: Final answer
    x = 507,940.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.