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Finding the Third Proportional to 236,886 and 312,993

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Solution

The third proportional to 236,886 and 312,993 is: 413,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,886 : 312,993 = 312,993 : x
  2. Step 2: Convert to fraction form
    236,886/312,993 = 312,993/x
  3. Step 3: Cross multiply
    236,886x = 312,993 × 312,993
  4. Step 4: Simplify right side
    236,886x = 97,964,618,049
  5. Step 5: Solve for x
    x = 97,964,618,049/236,886
  6. Step 6: Final answer
    x = 413,551.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.