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Finding the Third Proportional to 219,027 and 320,224

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Solution

The third proportional to 219,027 and 320,224 is: 468,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,027 : 320,224 = 320,224 : x
  2. Step 2: Convert to fraction form
    219,027/320,224 = 320,224/x
  3. Step 3: Cross multiply
    219,027x = 320,224 × 320,224
  4. Step 4: Simplify right side
    219,027x = 102,543,410,176
  5. Step 5: Solve for x
    x = 102,543,410,176/219,027
  6. Step 6: Final answer
    x = 468,177.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.