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Finding the Third Proportional to 144,612.75 and 222,417

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Solution

The third proportional to 144,612.75 and 222,417 is: 342,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,612.75 : 222,417 = 222,417 : x
  2. Step 2: Convert to fraction form
    144,612.75/222,417 = 222,417/x
  3. Step 3: Cross multiply
    144,612.75x = 222,417 × 222,417
  4. Step 4: Simplify right side
    144,612.75x = 49,469,321,889
  5. Step 5: Solve for x
    x = 49,469,321,889/144,612.75
  6. Step 6: Final answer
    x = 342,081.33

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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.