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Finding the Third Proportional to 139,052 and 303,596

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Solution

The third proportional to 139,052 and 303,596 is: 662,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,052 : 303,596 = 303,596 : x
  2. Step 2: Convert to fraction form
    139,052/303,596 = 303,596/x
  3. Step 3: Cross multiply
    139,052x = 303,596 × 303,596
  4. Step 4: Simplify right side
    139,052x = 92,170,531,216
  5. Step 5: Solve for x
    x = 92,170,531,216/139,052
  6. Step 6: Final answer
    x = 662,849.37

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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.