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Finding the Third Proportional to 189,666 and 437,958

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Solution

The third proportional to 189,666 and 437,958 is: 1,011,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,666 : 437,958 = 437,958 : x
  2. Step 2: Convert to fraction form
    189,666/437,958 = 437,958/x
  3. Step 3: Cross multiply
    189,666x = 437,958 × 437,958
  4. Step 4: Simplify right side
    189,666x = 191,807,209,764
  5. Step 5: Solve for x
    x = 191,807,209,764/189,666
  6. Step 6: Final answer
    x = 1,011,289.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.