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Finding the Third Proportional to 140,958.75 and 293,580.75

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Solution

The third proportional to 140,958.75 and 293,580.75 is: 611,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,958.75 : 293,580.75 = 293,580.75 : x
  2. Step 2: Convert to fraction form
    140,958.75/293,580.75 = 293,580.75/x
  3. Step 3: Cross multiply
    140,958.75x = 293,580.75 × 293,580.75
  4. Step 4: Simplify right side
    140,958.75x = 86,189,656,770.56
  5. Step 5: Solve for x
    x = 86,189,656,770.56/140,958.75
  6. Step 6: Final answer
    x = 611,453.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.