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Finding the Third Proportional to 149,598 and 322,977

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Solution

The third proportional to 149,598 and 322,977 is: 697,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,598 : 322,977 = 322,977 : x
  2. Step 2: Convert to fraction form
    149,598/322,977 = 322,977/x
  3. Step 3: Cross multiply
    149,598x = 322,977 × 322,977
  4. Step 4: Simplify right side
    149,598x = 104,314,142,529
  5. Step 5: Solve for x
    x = 104,314,142,529/149,598
  6. Step 6: Final answer
    x = 697,296.37

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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.