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Finding the Third Proportional to 180,320 and 280,306

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Solution

The third proportional to 180,320 and 280,306 is: 435,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,320 : 280,306 = 280,306 : x
  2. Step 2: Convert to fraction form
    180,320/280,306 = 280,306/x
  3. Step 3: Cross multiply
    180,320x = 280,306 × 280,306
  4. Step 4: Simplify right side
    180,320x = 78,571,453,636
  5. Step 5: Solve for x
    x = 78,571,453,636/180,320
  6. Step 6: Final answer
    x = 435,733.44

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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.