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Finding the Third Proportional to 154,644 and 236,958

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Solution

The third proportional to 154,644 and 236,958 is: 363,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,644 : 236,958 = 236,958 : x
  2. Step 2: Convert to fraction form
    154,644/236,958 = 236,958/x
  3. Step 3: Cross multiply
    154,644x = 236,958 × 236,958
  4. Step 4: Simplify right side
    154,644x = 56,149,093,764
  5. Step 5: Solve for x
    x = 56,149,093,764/154,644
  6. Step 6: Final answer
    x = 363,086.14

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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.