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Finding the Third Proportional to 213,669 and 461,187

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Solution

The third proportional to 213,669 and 461,187 is: 995,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,669 : 461,187 = 461,187 : x
  2. Step 2: Convert to fraction form
    213,669/461,187 = 461,187/x
  3. Step 3: Cross multiply
    213,669x = 461,187 × 461,187
  4. Step 4: Simplify right side
    213,669x = 212,693,448,969
  5. Step 5: Solve for x
    x = 212,693,448,969/213,669
  6. Step 6: Final answer
    x = 995,434.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.