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Finding the Third Proportional to 110,172 and 238,661

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Solution

The third proportional to 110,172 and 238,661 is: 517,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,172 : 238,661 = 238,661 : x
  2. Step 2: Convert to fraction form
    110,172/238,661 = 238,661/x
  3. Step 3: Cross multiply
    110,172x = 238,661 × 238,661
  4. Step 4: Simplify right side
    110,172x = 56,959,072,921
  5. Step 5: Solve for x
    x = 56,959,072,921/110,172
  6. Step 6: Final answer
    x = 517,001.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.