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Finding the Third Proportional to 149,164.88 and 225,914.06

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Solution

The third proportional to 149,164.88 and 225,914.06 is: 342,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,164.88 : 225,914.06 = 225,914.06 : x
  2. Step 2: Convert to fraction form
    149,164.88/225,914.06 = 225,914.06/x
  3. Step 3: Cross multiply
    149,164.88x = 225,914.06 × 225,914.06
  4. Step 4: Simplify right side
    149,164.88x = 51,037,163,635.25
  5. Step 5: Solve for x
    x = 51,037,163,635.25/149,164.88
  6. Step 6: Final answer
    x = 342,152.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.