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Finding the Third Proportional to 117,267.50 and 276,550

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Solution

The third proportional to 117,267.50 and 276,550 is: 652,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,267.50 : 276,550 = 276,550 : x
  2. Step 2: Convert to fraction form
    117,267.50/276,550 = 276,550/x
  3. Step 3: Cross multiply
    117,267.50x = 276,550 × 276,550
  4. Step 4: Simplify right side
    117,267.50x = 76,479,902,500
  5. Step 5: Solve for x
    x = 76,479,902,500/117,267.50
  6. Step 6: Final answer
    x = 652,183.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.