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Finding the Third Proportional to 112,886 and 240,388

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Solution

The third proportional to 112,886 and 240,388 is: 511,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,886 : 240,388 = 240,388 : x
  2. Step 2: Convert to fraction form
    112,886/240,388 = 240,388/x
  3. Step 3: Cross multiply
    112,886x = 240,388 × 240,388
  4. Step 4: Simplify right side
    112,886x = 57,786,390,544
  5. Step 5: Solve for x
    x = 57,786,390,544/112,886
  6. Step 6: Final answer
    x = 511,900.42

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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.