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Finding the Third Proportional to 237,567.75 and 512,268.94

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Solution

The third proportional to 237,567.75 and 512,268.94 is: 1,104,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,567.75 : 512,268.94 = 512,268.94 : x
  2. Step 2: Convert to fraction form
    237,567.75/512,268.94 = 512,268.94/x
  3. Step 3: Cross multiply
    237,567.75x = 512,268.94 × 512,268.94
  4. Step 4: Simplify right side
    237,567.75x = 262,419,464,327.38
  5. Step 5: Solve for x
    x = 262,419,464,327.38/237,567.75
  6. Step 6: Final answer
    x = 1,104,608.96

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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.