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Finding the Third Proportional to 213,016.50 and 459,245.75

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Solution

The third proportional to 213,016.50 and 459,245.75 is: 990,095.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,016.50 : 459,245.75 = 459,245.75 : x
  2. Step 2: Convert to fraction form
    213,016.50/459,245.75 = 459,245.75/x
  3. Step 3: Cross multiply
    213,016.50x = 459,245.75 × 459,245.75
  4. Step 4: Simplify right side
    213,016.50x = 210,906,658,893.06
  5. Step 5: Solve for x
    x = 210,906,658,893.06/213,016.50
  6. Step 6: Final answer
    x = 990,095.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.