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Finding the Third Proportional to 144,968.06 and 221,757.75

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Solution

The third proportional to 144,968.06 and 221,757.75 is: 339,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,968.06 : 221,757.75 = 221,757.75 : x
  2. Step 2: Convert to fraction form
    144,968.06/221,757.75 = 221,757.75/x
  3. Step 3: Cross multiply
    144,968.06x = 221,757.75 × 221,757.75
  4. Step 4: Simplify right side
    144,968.06x = 49,176,499,685.06
  5. Step 5: Solve for x
    x = 49,176,499,685.06/144,968.06
  6. Step 6: Final answer
    x = 339,222.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.