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Finding the Third Proportional to 209,351.25 and 299,021.63

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Solution

The third proportional to 209,351.25 and 299,021.63 is: 427,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,351.25 : 299,021.63 = 299,021.63 : x
  2. Step 2: Convert to fraction form
    209,351.25/299,021.63 = 299,021.63/x
  3. Step 3: Cross multiply
    209,351.25x = 299,021.63 × 299,021.63
  4. Step 4: Simplify right side
    209,351.25x = 89,413,932,217.64
  5. Step 5: Solve for x
    x = 89,413,932,217.64/209,351.25
  6. Step 6: Final answer
    x = 427,100.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.