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Finding the Third Proportional to 105,027.50 and 230,464.75

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Solution

The third proportional to 105,027.50 and 230,464.75 is: 505,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.50 : 230,464.75 = 230,464.75 : x
  2. Step 2: Convert to fraction form
    105,027.50/230,464.75 = 230,464.75/x
  3. Step 3: Cross multiply
    105,027.50x = 230,464.75 × 230,464.75
  4. Step 4: Simplify right side
    105,027.50x = 53,114,000,992.56
  5. Step 5: Solve for x
    x = 53,114,000,992.56/105,027.50
  6. Step 6: Final answer
    x = 505,715.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.