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Finding the Third Proportional to 204,904 and 447,168

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Solution

The third proportional to 204,904 and 447,168 is: 975,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,904 : 447,168 = 447,168 : x
  2. Step 2: Convert to fraction form
    204,904/447,168 = 447,168/x
  3. Step 3: Cross multiply
    204,904x = 447,168 × 447,168
  4. Step 4: Simplify right side
    204,904x = 199,959,220,224
  5. Step 5: Solve for x
    x = 199,959,220,224/204,904
  6. Step 6: Final answer
    x = 975,867.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.