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Finding the Third Proportional to 144,976 and 222,904

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Solution

The third proportional to 144,976 and 222,904 is: 342,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,976 : 222,904 = 222,904 : x
  2. Step 2: Convert to fraction form
    144,976/222,904 = 222,904/x
  3. Step 3: Cross multiply
    144,976x = 222,904 × 222,904
  4. Step 4: Simplify right side
    144,976x = 49,686,193,216
  5. Step 5: Solve for x
    x = 49,686,193,216/144,976
  6. Step 6: Final answer
    x = 342,720.13

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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.