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Finding the Third Proportional to 112,383 and 240,759

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Solution

The third proportional to 112,383 and 240,759 is: 515,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,383 : 240,759 = 240,759 : x
  2. Step 2: Convert to fraction form
    112,383/240,759 = 240,759/x
  3. Step 3: Cross multiply
    112,383x = 240,759 × 240,759
  4. Step 4: Simplify right side
    112,383x = 57,964,896,081
  5. Step 5: Solve for x
    x = 57,964,896,081/112,383
  6. Step 6: Final answer
    x = 515,779.93

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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.