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Finding the Third Proportional to 116,268.75 and 237,471.75

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Solution

The third proportional to 116,268.75 and 237,471.75 is: 485,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,268.75 : 237,471.75 = 237,471.75 : x
  2. Step 2: Convert to fraction form
    116,268.75/237,471.75 = 237,471.75/x
  3. Step 3: Cross multiply
    116,268.75x = 237,471.75 × 237,471.75
  4. Step 4: Simplify right side
    116,268.75x = 56,392,832,048.06
  5. Step 5: Solve for x
    x = 56,392,832,048.06/116,268.75
  6. Step 6: Final answer
    x = 485,021.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.