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Finding the Third Proportional to 139,172 and 303,614

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Solution

The third proportional to 139,172 and 303,614 is: 662,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,172 : 303,614 = 303,614 : x
  2. Step 2: Convert to fraction form
    139,172/303,614 = 303,614/x
  3. Step 3: Cross multiply
    139,172x = 303,614 × 303,614
  4. Step 4: Simplify right side
    139,172x = 92,181,460,996
  5. Step 5: Solve for x
    x = 92,181,460,996/139,172
  6. Step 6: Final answer
    x = 662,356.37

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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.