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Finding the Third Proportional to 189,186 and 413,898

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Solution

The third proportional to 189,186 and 413,898 is: 905,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,186 : 413,898 = 413,898 : x
  2. Step 2: Convert to fraction form
    189,186/413,898 = 413,898/x
  3. Step 3: Cross multiply
    189,186x = 413,898 × 413,898
  4. Step 4: Simplify right side
    189,186x = 171,311,554,404
  5. Step 5: Solve for x
    x = 171,311,554,404/189,186
  6. Step 6: Final answer
    x = 905,519.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.