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Finding the Third Proportional to 222,740.25 and 295,356

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Solution

The third proportional to 222,740.25 and 295,356 is: 391,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,740.25 : 295,356 = 295,356 : x
  2. Step 2: Convert to fraction form
    222,740.25/295,356 = 295,356/x
  3. Step 3: Cross multiply
    222,740.25x = 295,356 × 295,356
  4. Step 4: Simplify right side
    222,740.25x = 87,235,166,736
  5. Step 5: Solve for x
    x = 87,235,166,736/222,740.25
  6. Step 6: Final answer
    x = 391,645.28

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.