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Finding the Third Proportional to 76,579.50 and 168,261

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Solution

The third proportional to 76,579.50 and 168,261 is: 369,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,579.50 : 168,261 = 168,261 : x
  2. Step 2: Convert to fraction form
    76,579.50/168,261 = 168,261/x
  3. Step 3: Cross multiply
    76,579.50x = 168,261 × 168,261
  4. Step 4: Simplify right side
    76,579.50x = 28,311,764,121
  5. Step 5: Solve for x
    x = 28,311,764,121/76,579.50
  6. Step 6: Final answer
    x = 369,704.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.