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Finding the Third Proportional to 149,590 and 322,963

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Solution

The third proportional to 149,590 and 322,963 is: 697,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,590 : 322,963 = 322,963 : x
  2. Step 2: Convert to fraction form
    149,590/322,963 = 322,963/x
  3. Step 3: Cross multiply
    149,590x = 322,963 × 322,963
  4. Step 4: Simplify right side
    149,590x = 104,305,099,369
  5. Step 5: Solve for x
    x = 104,305,099,369/149,590
  6. Step 6: Final answer
    x = 697,273.21

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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.