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Finding the Third Proportional to 189,326 and 403,912

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Solution

The third proportional to 189,326 and 403,912 is: 861,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,326 : 403,912 = 403,912 : x
  2. Step 2: Convert to fraction form
    189,326/403,912 = 403,912/x
  3. Step 3: Cross multiply
    189,326x = 403,912 × 403,912
  4. Step 4: Simplify right side
    189,326x = 163,144,903,744
  5. Step 5: Solve for x
    x = 163,144,903,744/189,326
  6. Step 6: Final answer
    x = 861,714.21

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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.