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Finding the Third Proportional to 139,824 and 302,976

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Solution

The third proportional to 139,824 and 302,976 is: 656,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,824 : 302,976 = 302,976 : x
  2. Step 2: Convert to fraction form
    139,824/302,976 = 302,976/x
  3. Step 3: Cross multiply
    139,824x = 302,976 × 302,976
  4. Step 4: Simplify right side
    139,824x = 91,794,456,576
  5. Step 5: Solve for x
    x = 91,794,456,576/139,824
  6. Step 6: Final answer
    x = 656,500.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.