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Finding the Third Proportional to 189,501.75 and 410,538.75

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Solution

The third proportional to 189,501.75 and 410,538.75 is: 889,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,501.75 : 410,538.75 = 410,538.75 : x
  2. Step 2: Convert to fraction form
    189,501.75/410,538.75 = 410,538.75/x
  3. Step 3: Cross multiply
    189,501.75x = 410,538.75 × 410,538.75
  4. Step 4: Simplify right side
    189,501.75x = 168,542,065,251.56
  5. Step 5: Solve for x
    x = 168,542,065,251.56/189,501.75
  6. Step 6: Final answer
    x = 889,395.82

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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.