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Finding the Third Proportional to 125,198.44 and 295,250.06

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Solution

The third proportional to 125,198.44 and 295,250.06 is: 696,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,198.44 : 295,250.06 = 295,250.06 : x
  2. Step 2: Convert to fraction form
    125,198.44/295,250.06 = 295,250.06/x
  3. Step 3: Cross multiply
    125,198.44x = 295,250.06 × 295,250.06
  4. Step 4: Simplify right side
    125,198.44x = 87,172,599,406.25
  5. Step 5: Solve for x
    x = 87,172,599,406.25/125,198.44
  6. Step 6: Final answer
    x = 696,275.46

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.