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Finding the Third Proportional to 144,980.51 and 303,164.02

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Solution

The third proportional to 144,980.51 and 303,164.02 is: 633,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,980.51 : 303,164.02 = 303,164.02 : x
  2. Step 2: Convert to fraction form
    144,980.51/303,164.02 = 303,164.02/x
  3. Step 3: Cross multiply
    144,980.51x = 303,164.02 × 303,164.02
  4. Step 4: Simplify right side
    144,980.51x = 91,908,420,369.88
  5. Step 5: Solve for x
    x = 91,908,420,369.88/144,980.51
  6. Step 6: Final answer
    x = 633,936.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.