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Finding the Third Proportional to 260,871.75 and 372,170.81

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Solution

The third proportional to 260,871.75 and 372,170.81 is: 530,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,871.75 : 372,170.81 = 372,170.81 : x
  2. Step 2: Convert to fraction form
    260,871.75/372,170.81 = 372,170.81/x
  3. Step 3: Cross multiply
    260,871.75x = 372,170.81 × 372,170.81
  4. Step 4: Simplify right side
    260,871.75x = 138,511,113,676.91
  5. Step 5: Solve for x
    x = 138,511,113,676.91/260,871.75
  6. Step 6: Final answer
    x = 530,954.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.