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Finding the Third Proportional to 139,007.25 and 305,078.63

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Solution

The third proportional to 139,007.25 and 305,078.63 is: 669,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,007.25 : 305,078.63 = 305,078.63 : x
  2. Step 2: Convert to fraction form
    139,007.25/305,078.63 = 305,078.63/x
  3. Step 3: Cross multiply
    139,007.25x = 305,078.63 × 305,078.63
  4. Step 4: Simplify right side
    139,007.25x = 93,072,967,431.89
  5. Step 5: Solve for x
    x = 93,072,967,431.89/139,007.25
  6. Step 6: Final answer
    x = 669,554.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.