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Finding the Third Proportional to 189,896 and 404,336

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Solution

The third proportional to 189,896 and 404,336 is: 860,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,896 : 404,336 = 404,336 : x
  2. Step 2: Convert to fraction form
    189,896/404,336 = 404,336/x
  3. Step 3: Cross multiply
    189,896x = 404,336 × 404,336
  4. Step 4: Simplify right side
    189,896x = 163,487,600,896
  5. Step 5: Solve for x
    x = 163,487,600,896/189,896
  6. Step 6: Final answer
    x = 860,932.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.