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Finding the Third Proportional to 180,852 and 264,771

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Solution

The third proportional to 180,852 and 264,771 is: 387,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,852 : 264,771 = 264,771 : x
  2. Step 2: Convert to fraction form
    180,852/264,771 = 264,771/x
  3. Step 3: Cross multiply
    180,852x = 264,771 × 264,771
  4. Step 4: Simplify right side
    180,852x = 70,103,682,441
  5. Step 5: Solve for x
    x = 70,103,682,441/180,852
  6. Step 6: Final answer
    x = 387,630.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.