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Finding the Third Proportional to 164,542 and 356,976

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Solution

The third proportional to 164,542 and 356,976 is: 774,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,542 : 356,976 = 356,976 : x
  2. Step 2: Convert to fraction form
    164,542/356,976 = 356,976/x
  3. Step 3: Cross multiply
    164,542x = 356,976 × 356,976
  4. Step 4: Simplify right side
    164,542x = 127,431,864,576
  5. Step 5: Solve for x
    x = 127,431,864,576/164,542
  6. Step 6: Final answer
    x = 774,464.06

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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.