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Finding the Third Proportional to 144,486 and 222,356.25

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Solution

The third proportional to 144,486 and 222,356.25 is: 342,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,486 : 222,356.25 = 222,356.25 : x
  2. Step 2: Convert to fraction form
    144,486/222,356.25 = 222,356.25/x
  3. Step 3: Cross multiply
    144,486x = 222,356.25 × 222,356.25
  4. Step 4: Simplify right side
    144,486x = 49,442,301,914.06
  5. Step 5: Solve for x
    x = 49,442,301,914.06/144,486
  6. Step 6: Final answer
    x = 342,194.41

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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.