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Finding the Third Proportional to 144,764.25 and 219,606.75

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Solution

The third proportional to 144,764.25 and 219,606.75 is: 333,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,764.25 : 219,606.75 = 219,606.75 : x
  2. Step 2: Convert to fraction form
    144,764.25/219,606.75 = 219,606.75/x
  3. Step 3: Cross multiply
    144,764.25x = 219,606.75 × 219,606.75
  4. Step 4: Simplify right side
    144,764.25x = 48,227,124,645.56
  5. Step 5: Solve for x
    x = 48,227,124,645.56/144,764.25
  6. Step 6: Final answer
    x = 333,142.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.