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Finding the Third Proportional to 180,525 and 280,656

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Solution

The third proportional to 180,525 and 280,656 is: 436,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,525 : 280,656 = 280,656 : x
  2. Step 2: Convert to fraction form
    180,525/280,656 = 280,656/x
  3. Step 3: Cross multiply
    180,525x = 280,656 × 280,656
  4. Step 4: Simplify right side
    180,525x = 78,767,790,336
  5. Step 5: Solve for x
    x = 78,767,790,336/180,525
  6. Step 6: Final answer
    x = 436,326.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.