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Finding the Third Proportional to 104,113.50 and 231,519

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Solution

The third proportional to 104,113.50 and 231,519 is: 514,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,113.50 : 231,519 = 231,519 : x
  2. Step 2: Convert to fraction form
    104,113.50/231,519 = 231,519/x
  3. Step 3: Cross multiply
    104,113.50x = 231,519 × 231,519
  4. Step 4: Simplify right side
    104,113.50x = 53,601,047,361
  5. Step 5: Solve for x
    x = 53,601,047,361/104,113.50
  6. Step 6: Final answer
    x = 514,832.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.