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Finding the Third Proportional to 115,074 and 238,134

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Solution

The third proportional to 115,074 and 238,134 is: 492,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,074 : 238,134 = 238,134 : x
  2. Step 2: Convert to fraction form
    115,074/238,134 = 238,134/x
  3. Step 3: Cross multiply
    115,074x = 238,134 × 238,134
  4. Step 4: Simplify right side
    115,074x = 56,707,801,956
  5. Step 5: Solve for x
    x = 56,707,801,956/115,074
  6. Step 6: Final answer
    x = 492,794.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.