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Finding the Third Proportional to 110,790 and 234,873

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Solution

The third proportional to 110,790 and 234,873 is: 497,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,790 : 234,873 = 234,873 : x
  2. Step 2: Convert to fraction form
    110,790/234,873 = 234,873/x
  3. Step 3: Cross multiply
    110,790x = 234,873 × 234,873
  4. Step 4: Simplify right side
    110,790x = 55,165,326,129
  5. Step 5: Solve for x
    x = 55,165,326,129/110,790
  6. Step 6: Final answer
    x = 497,926.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.