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Finding the Third Proportional to 116,896 and 180,800

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Solution

The third proportional to 116,896 and 180,800 is: 279,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,896 : 180,800 = 180,800 : x
  2. Step 2: Convert to fraction form
    116,896/180,800 = 180,800/x
  3. Step 3: Cross multiply
    116,896x = 180,800 × 180,800
  4. Step 4: Simplify right side
    116,896x = 32,688,640,000
  5. Step 5: Solve for x
    x = 32,688,640,000/116,896
  6. Step 6: Final answer
    x = 279,638.65

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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.