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Finding the Third Proportional to 189,203 and 413,929

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Solution

The third proportional to 189,203 and 413,929 is: 905,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,203 : 413,929 = 413,929 : x
  2. Step 2: Convert to fraction form
    189,203/413,929 = 413,929/x
  3. Step 3: Cross multiply
    189,203x = 413,929 × 413,929
  4. Step 4: Simplify right side
    189,203x = 171,337,217,041
  5. Step 5: Solve for x
    x = 171,337,217,041/189,203
  6. Step 6: Final answer
    x = 905,573.47

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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.