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Finding the Third Proportional to 147,447 and 222,392.25

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Solution

The third proportional to 147,447 and 222,392.25 is: 335,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,447 : 222,392.25 = 222,392.25 : x
  2. Step 2: Convert to fraction form
    147,447/222,392.25 = 222,392.25/x
  3. Step 3: Cross multiply
    147,447x = 222,392.25 × 222,392.25
  4. Step 4: Simplify right side
    147,447x = 49,458,312,860.06
  5. Step 5: Solve for x
    x = 49,458,312,860.06/147,447
  6. Step 6: Final answer
    x = 335,431.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.