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Finding the Third Proportional to 180,016 and 284,682

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Solution

The third proportional to 180,016 and 284,682 is: 450,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,016 : 284,682 = 284,682 : x
  2. Step 2: Convert to fraction form
    180,016/284,682 = 284,682/x
  3. Step 3: Cross multiply
    180,016x = 284,682 × 284,682
  4. Step 4: Simplify right side
    180,016x = 81,043,841,124
  5. Step 5: Solve for x
    x = 81,043,841,124/180,016
  6. Step 6: Final answer
    x = 450,203.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.