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Finding the Third Proportional to 189,519.50 and 410,550

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Solution

The third proportional to 189,519.50 and 410,550 is: 889,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,519.50 : 410,550 = 410,550 : x
  2. Step 2: Convert to fraction form
    189,519.50/410,550 = 410,550/x
  3. Step 3: Cross multiply
    189,519.50x = 410,550 × 410,550
  4. Step 4: Simplify right side
    189,519.50x = 168,551,302,500
  5. Step 5: Solve for x
    x = 168,551,302,500/189,519.50
  6. Step 6: Final answer
    x = 889,361.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.