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Finding the Third Proportional to 180,832 and 282,256

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Solution

The third proportional to 180,832 and 282,256 is: 440,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,832 : 282,256 = 282,256 : x
  2. Step 2: Convert to fraction form
    180,832/282,256 = 282,256/x
  3. Step 3: Cross multiply
    180,832x = 282,256 × 282,256
  4. Step 4: Simplify right side
    180,832x = 79,668,449,536
  5. Step 5: Solve for x
    x = 79,668,449,536/180,832
  6. Step 6: Final answer
    x = 440,566.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.