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Finding the Third Proportional to 144,478.69 and 222,390.56

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Solution

The third proportional to 144,478.69 and 222,390.56 is: 342,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,478.69 : 222,390.56 = 222,390.56 : x
  2. Step 2: Convert to fraction form
    144,478.69/222,390.56 = 222,390.56/x
  3. Step 3: Cross multiply
    144,478.69x = 222,390.56 × 222,390.56
  4. Step 4: Simplify right side
    144,478.69x = 49,457,562,289.07
  5. Step 5: Solve for x
    x = 49,457,562,289.07/144,478.69
  6. Step 6: Final answer
    x = 342,317.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.