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Finding the Third Proportional to 146,768 and 321,664

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Solution

The third proportional to 146,768 and 321,664 is: 704,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,768 : 321,664 = 321,664 : x
  2. Step 2: Convert to fraction form
    146,768/321,664 = 321,664/x
  3. Step 3: Cross multiply
    146,768x = 321,664 × 321,664
  4. Step 4: Simplify right side
    146,768x = 103,467,728,896
  5. Step 5: Solve for x
    x = 103,467,728,896/146,768
  6. Step 6: Final answer
    x = 704,974.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.