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Finding the Third Proportional to 144,067 and 208,133

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Solution

The third proportional to 144,067 and 208,133 is: 300,688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,067 : 208,133 = 208,133 : x
  2. Step 2: Convert to fraction form
    144,067/208,133 = 208,133/x
  3. Step 3: Cross multiply
    144,067x = 208,133 × 208,133
  4. Step 4: Simplify right side
    144,067x = 43,319,345,689
  5. Step 5: Solve for x
    x = 43,319,345,689/144,067
  6. Step 6: Final answer
    x = 300,688.89

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Why These Related Problems?

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