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Finding the Third Proportional to 208,163.25 and 297,455.63

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Solution

The third proportional to 208,163.25 and 297,455.63 is: 425,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,163.25 : 297,455.63 = 297,455.63 : x
  2. Step 2: Convert to fraction form
    208,163.25/297,455.63 = 297,455.63/x
  3. Step 3: Cross multiply
    208,163.25x = 297,455.63 × 297,455.63
  4. Step 4: Simplify right side
    208,163.25x = 88,479,848,844.14
  5. Step 5: Solve for x
    x = 88,479,848,844.14/208,163.25
  6. Step 6: Final answer
    x = 425,050.29

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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.