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Finding the Third Proportional to 189,060 and 449,610

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Solution

The third proportional to 189,060 and 449,610 is: 1,069,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,060 : 449,610 = 449,610 : x
  2. Step 2: Convert to fraction form
    189,060/449,610 = 449,610/x
  3. Step 3: Cross multiply
    189,060x = 449,610 × 449,610
  4. Step 4: Simplify right side
    189,060x = 202,149,152,100
  5. Step 5: Solve for x
    x = 202,149,152,100/189,060
  6. Step 6: Final answer
    x = 1,069,232.79

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.