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Finding the Third Proportional to 149,355.56 and 322,563.09

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Solution

The third proportional to 149,355.56 and 322,563.09 is: 696,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,355.56 : 322,563.09 = 322,563.09 : x
  2. Step 2: Convert to fraction form
    149,355.56/322,563.09 = 322,563.09/x
  3. Step 3: Cross multiply
    149,355.56x = 322,563.09 × 322,563.09
  4. Step 4: Simplify right side
    149,355.56x = 104,046,949,449.57
  5. Step 5: Solve for x
    x = 104,046,949,449.57/149,355.56
  6. Step 6: Final answer
    x = 696,639.27

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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.