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Finding the Third Proportional to 158,986 and 336,926

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Solution

The third proportional to 158,986 and 336,926 is: 714,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,986 : 336,926 = 336,926 : x
  2. Step 2: Convert to fraction form
    158,986/336,926 = 336,926/x
  3. Step 3: Cross multiply
    158,986x = 336,926 × 336,926
  4. Step 4: Simplify right side
    158,986x = 113,519,129,476
  5. Step 5: Solve for x
    x = 113,519,129,476/158,986
  6. Step 6: Final answer
    x = 714,019.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.