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Finding the Third Proportional to 112,888 and 241,328

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Solution

The third proportional to 112,888 and 241,328 is: 515,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,888 : 241,328 = 241,328 : x
  2. Step 2: Convert to fraction form
    112,888/241,328 = 241,328/x
  3. Step 3: Cross multiply
    112,888x = 241,328 × 241,328
  4. Step 4: Simplify right side
    112,888x = 58,239,203,584
  5. Step 5: Solve for x
    x = 58,239,203,584/112,888
  6. Step 6: Final answer
    x = 515,902.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.