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Finding the Third Proportional to 144,936.84 and 208,754.72

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Solution

The third proportional to 144,936.84 and 208,754.72 is: 300,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,936.84 : 208,754.72 = 208,754.72 : x
  2. Step 2: Convert to fraction form
    144,936.84/208,754.72 = 208,754.72/x
  3. Step 3: Cross multiply
    144,936.84x = 208,754.72 × 208,754.72
  4. Step 4: Simplify right side
    144,936.84x = 43,578,532,600.39
  5. Step 5: Solve for x
    x = 43,578,532,600.39/144,936.84
  6. Step 6: Final answer
    x = 300,672.57

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.