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Finding the Third Proportional to 144,379.97 and 222,208.31

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Solution

The third proportional to 144,379.97 and 222,208.31 is: 341,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,379.97 : 222,208.31 = 222,208.31 : x
  2. Step 2: Convert to fraction form
    144,379.97/222,208.31 = 222,208.31/x
  3. Step 3: Cross multiply
    144,379.97x = 222,208.31 × 222,208.31
  4. Step 4: Simplify right side
    144,379.97x = 49,376,534,144.10
  5. Step 5: Solve for x
    x = 49,376,534,144.10/144,379.97
  6. Step 6: Final answer
    x = 341,990.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.