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Finding the Third Proportional to 203,104 and 316,224

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Solution

The third proportional to 203,104 and 316,224 is: 492,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,104 : 316,224 = 316,224 : x
  2. Step 2: Convert to fraction form
    203,104/316,224 = 316,224/x
  3. Step 3: Cross multiply
    203,104x = 316,224 × 316,224
  4. Step 4: Simplify right side
    203,104x = 99,997,618,176
  5. Step 5: Solve for x
    x = 99,997,618,176/203,104
  6. Step 6: Final answer
    x = 492,346.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.