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Finding the Third Proportional to 158,990 and 222,838

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Solution

The third proportional to 158,990 and 222,838 is: 312,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,990 : 222,838 = 222,838 : x
  2. Step 2: Convert to fraction form
    158,990/222,838 = 222,838/x
  3. Step 3: Cross multiply
    158,990x = 222,838 × 222,838
  4. Step 4: Simplify right side
    158,990x = 49,656,774,244
  5. Step 5: Solve for x
    x = 49,656,774,244/158,990
  6. Step 6: Final answer
    x = 312,326.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.