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Finding the Third Proportional to 115,085 and 238,162

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Solution

The third proportional to 115,085 and 238,162 is: 492,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,085 : 238,162 = 238,162 : x
  2. Step 2: Convert to fraction form
    115,085/238,162 = 238,162/x
  3. Step 3: Cross multiply
    115,085x = 238,162 × 238,162
  4. Step 4: Simplify right side
    115,085x = 56,721,138,244
  5. Step 5: Solve for x
    x = 56,721,138,244/115,085
  6. Step 6: Final answer
    x = 492,863.00

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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.