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Finding the Third Proportional to 115,926 and 253,992

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Solution

The third proportional to 115,926 and 253,992 is: 556,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,926 : 253,992 = 253,992 : x
  2. Step 2: Convert to fraction form
    115,926/253,992 = 253,992/x
  3. Step 3: Cross multiply
    115,926x = 253,992 × 253,992
  4. Step 4: Simplify right side
    115,926x = 64,511,936,064
  5. Step 5: Solve for x
    x = 64,511,936,064/115,926
  6. Step 6: Final answer
    x = 556,492.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.