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Finding the Third Proportional to 97,326 and 211,268

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Solution

The third proportional to 97,326 and 211,268 is: 458,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,326 : 211,268 = 211,268 : x
  2. Step 2: Convert to fraction form
    97,326/211,268 = 211,268/x
  3. Step 3: Cross multiply
    97,326x = 211,268 × 211,268
  4. Step 4: Simplify right side
    97,326x = 44,634,167,824
  5. Step 5: Solve for x
    x = 44,634,167,824/97,326
  6. Step 6: Final answer
    x = 458,604.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.