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Finding the Third Proportional to 82,048 and 180,248

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Solution

The third proportional to 82,048 and 180,248 is: 395,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,048 : 180,248 = 180,248 : x
  2. Step 2: Convert to fraction form
    82,048/180,248 = 180,248/x
  3. Step 3: Cross multiply
    82,048x = 180,248 × 180,248
  4. Step 4: Simplify right side
    82,048x = 32,489,341,504
  5. Step 5: Solve for x
    x = 32,489,341,504/82,048
  6. Step 6: Final answer
    x = 395,979.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.