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Finding the Third Proportional to 137,718.75 and 295,525.50

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Solution

The third proportional to 137,718.75 and 295,525.50 is: 634,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,718.75 : 295,525.50 = 295,525.50 : x
  2. Step 2: Convert to fraction form
    137,718.75/295,525.50 = 295,525.50/x
  3. Step 3: Cross multiply
    137,718.75x = 295,525.50 × 295,525.50
  4. Step 4: Simplify right side
    137,718.75x = 87,335,321,150.25
  5. Step 5: Solve for x
    x = 87,335,321,150.25/137,718.75
  6. Step 6: Final answer
    x = 634,157.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.