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Finding the Third Proportional to 139,048 and 302,928

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Solution

The third proportional to 139,048 and 302,928 is: 659,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,048 : 302,928 = 302,928 : x
  2. Step 2: Convert to fraction form
    139,048/302,928 = 302,928/x
  3. Step 3: Cross multiply
    139,048x = 302,928 × 302,928
  4. Step 4: Simplify right side
    139,048x = 91,765,373,184
  5. Step 5: Solve for x
    x = 91,765,373,184/139,048
  6. Step 6: Final answer
    x = 659,954.64

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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.