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Finding the Third Proportional to 144,958.50 and 216,762.75

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Solution

The third proportional to 144,958.50 and 216,762.75 is: 324,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,958.50 : 216,762.75 = 216,762.75 : x
  2. Step 2: Convert to fraction form
    144,958.50/216,762.75 = 216,762.75/x
  3. Step 3: Cross multiply
    144,958.50x = 216,762.75 × 216,762.75
  4. Step 4: Simplify right side
    144,958.50x = 46,986,089,787.56
  5. Step 5: Solve for x
    x = 46,986,089,787.56/144,958.50
  6. Step 6: Final answer
    x = 324,134.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.