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Finding the Third Proportional to 149,859 and 320,976

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Solution

The third proportional to 149,859 and 320,976 is: 687,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,859 : 320,976 = 320,976 : x
  2. Step 2: Convert to fraction form
    149,859/320,976 = 320,976/x
  3. Step 3: Cross multiply
    149,859x = 320,976 × 320,976
  4. Step 4: Simplify right side
    149,859x = 103,025,592,576
  5. Step 5: Solve for x
    x = 103,025,592,576/149,859
  6. Step 6: Final answer
    x = 687,483.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.