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Finding the Third Proportional to 139,004.75 and 303,497.94

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Solution

The third proportional to 139,004.75 and 303,497.94 is: 662,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,004.75 : 303,497.94 = 303,497.94 : x
  2. Step 2: Convert to fraction form
    139,004.75/303,497.94 = 303,497.94/x
  3. Step 3: Cross multiply
    139,004.75x = 303,497.94 × 303,497.94
  4. Step 4: Simplify right side
    139,004.75x = 92,110,998,066.75
  5. Step 5: Solve for x
    x = 92,110,998,066.75/139,004.75
  6. Step 6: Final answer
    x = 662,646.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.