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Finding the Third Proportional to 208,352.25 and 449,124.75

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Solution

The third proportional to 208,352.25 and 449,124.75 is: 968,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,352.25 : 449,124.75 = 449,124.75 : x
  2. Step 2: Convert to fraction form
    208,352.25/449,124.75 = 449,124.75/x
  3. Step 3: Cross multiply
    208,352.25x = 449,124.75 × 449,124.75
  4. Step 4: Simplify right side
    208,352.25x = 201,713,041,062.56
  5. Step 5: Solve for x
    x = 201,713,041,062.56/208,352.25
  6. Step 6: Final answer
    x = 968,134.69

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