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Finding the Third Proportional to 117,266 and 238,681

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Solution

The third proportional to 117,266 and 238,681 is: 485,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,266 : 238,681 = 238,681 : x
  2. Step 2: Convert to fraction form
    117,266/238,681 = 238,681/x
  3. Step 3: Cross multiply
    117,266x = 238,681 × 238,681
  4. Step 4: Simplify right side
    117,266x = 56,968,619,761
  5. Step 5: Solve for x
    x = 56,968,619,761/117,266
  6. Step 6: Final answer
    x = 485,806.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.