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Finding the Third Proportional to 149,440.50 and 322,494

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Solution

The third proportional to 149,440.50 and 322,494 is: 695,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,440.50 : 322,494 = 322,494 : x
  2. Step 2: Convert to fraction form
    149,440.50/322,494 = 322,494/x
  3. Step 3: Cross multiply
    149,440.50x = 322,494 × 322,494
  4. Step 4: Simplify right side
    149,440.50x = 104,002,380,036
  5. Step 5: Solve for x
    x = 104,002,380,036/149,440.50
  6. Step 6: Final answer
    x = 695,945.08

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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.