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Finding the Third Proportional to 174,885.75 and 265,745.81

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Solution

The third proportional to 174,885.75 and 265,745.81 is: 403,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,885.75 : 265,745.81 = 265,745.81 : x
  2. Step 2: Convert to fraction form
    174,885.75/265,745.81 = 265,745.81/x
  3. Step 3: Cross multiply
    174,885.75x = 265,745.81 × 265,745.81
  4. Step 4: Simplify right side
    174,885.75x = 70,620,836,861.29
  5. Step 5: Solve for x
    x = 70,620,836,861.29/174,885.75
  6. Step 6: Final answer
    x = 403,811.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.