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Finding the Third Proportional to 149,596 and 322,973

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Solution

The third proportional to 149,596 and 322,973 is: 697,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,596 : 322,973 = 322,973 : x
  2. Step 2: Convert to fraction form
    149,596/322,973 = 322,973/x
  3. Step 3: Cross multiply
    149,596x = 322,973 × 322,973
  4. Step 4: Simplify right side
    149,596x = 104,311,558,729
  5. Step 5: Solve for x
    x = 104,311,558,729/149,596
  6. Step 6: Final answer
    x = 697,288.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.