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Finding the Third Proportional to 194,458.50 and 415,891

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Solution

The third proportional to 194,458.50 and 415,891 is: 889,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,458.50 : 415,891 = 415,891 : x
  2. Step 2: Convert to fraction form
    194,458.50/415,891 = 415,891/x
  3. Step 3: Cross multiply
    194,458.50x = 415,891 × 415,891
  4. Step 4: Simplify right side
    194,458.50x = 172,965,323,881
  5. Step 5: Solve for x
    x = 172,965,323,881/194,458.50
  6. Step 6: Final answer
    x = 889,471.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.