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Finding the Third Proportional to 112,833 and 240,286

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Solution

The third proportional to 112,833 and 240,286 is: 511,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,833 : 240,286 = 240,286 : x
  2. Step 2: Convert to fraction form
    112,833/240,286 = 240,286/x
  3. Step 3: Cross multiply
    112,833x = 240,286 × 240,286
  4. Step 4: Simplify right side
    112,833x = 57,737,361,796
  5. Step 5: Solve for x
    x = 57,737,361,796/112,833
  6. Step 6: Final answer
    x = 511,706.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.