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Finding the Third Proportional to 154,926 and 236,841

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Solution

The third proportional to 154,926 and 236,841 is: 362,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,926 : 236,841 = 236,841 : x
  2. Step 2: Convert to fraction form
    154,926/236,841 = 236,841/x
  3. Step 3: Cross multiply
    154,926x = 236,841 × 236,841
  4. Step 4: Simplify right side
    154,926x = 56,093,659,281
  5. Step 5: Solve for x
    x = 56,093,659,281/154,926
  6. Step 6: Final answer
    x = 362,067.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.