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Finding the Third Proportional to 138,162 and 295,926

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Solution

The third proportional to 138,162 and 295,926 is: 633,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162 : 295,926 = 295,926 : x
  2. Step 2: Convert to fraction form
    138,162/295,926 = 295,926/x
  3. Step 3: Cross multiply
    138,162x = 295,926 × 295,926
  4. Step 4: Simplify right side
    138,162x = 87,572,197,476
  5. Step 5: Solve for x
    x = 87,572,197,476/138,162
  6. Step 6: Final answer
    x = 633,837.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.