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Finding the Third Proportional to 208,709.16 and 446,935.22

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Solution

The third proportional to 208,709.16 and 446,935.22 is: 957,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,709.16 : 446,935.22 = 446,935.22 : x
  2. Step 2: Convert to fraction form
    208,709.16/446,935.22 = 446,935.22/x
  3. Step 3: Cross multiply
    208,709.16x = 446,935.22 × 446,935.22
  4. Step 4: Simplify right side
    208,709.16x = 199,751,089,759.11
  5. Step 5: Solve for x
    x = 199,751,089,759.11/208,709.16
  6. Step 6: Final answer
    x = 957,078.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.