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Finding the Third Proportional to 149,341.22 and 322,453.41

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Solution

The third proportional to 149,341.22 and 322,453.41 is: 696,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,341.22 : 322,453.41 = 322,453.41 : x
  2. Step 2: Convert to fraction form
    149,341.22/322,453.41 = 322,453.41/x
  3. Step 3: Cross multiply
    149,341.22x = 322,453.41 × 322,453.41
  4. Step 4: Simplify right side
    149,341.22x = 103,976,199,202.23
  5. Step 5: Solve for x
    x = 103,976,199,202.23/149,341.22
  6. Step 6: Final answer
    x = 696,232.43

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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.