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Finding the Third Proportional to 144,036 and 218,044

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Solution

The third proportional to 144,036 and 218,044 is: 330,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,036 : 218,044 = 218,044 : x
  2. Step 2: Convert to fraction form
    144,036/218,044 = 218,044/x
  3. Step 3: Cross multiply
    144,036x = 218,044 × 218,044
  4. Step 4: Simplify right side
    144,036x = 47,543,185,936
  5. Step 5: Solve for x
    x = 47,543,185,936/144,036
  6. Step 6: Final answer
    x = 330,078.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.