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Finding the Third Proportional to 221,269 and 335,247

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Solution

The third proportional to 221,269 and 335,247 is: 507,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,269 : 335,247 = 335,247 : x
  2. Step 2: Convert to fraction form
    221,269/335,247 = 335,247/x
  3. Step 3: Cross multiply
    221,269x = 335,247 × 335,247
  4. Step 4: Simplify right side
    221,269x = 112,390,551,009
  5. Step 5: Solve for x
    x = 112,390,551,009/221,269
  6. Step 6: Final answer
    x = 507,936.27

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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.