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Finding the Third Proportional to 101,664 and 240,336

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Solution

The third proportional to 101,664 and 240,336 is: 568,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,664 : 240,336 = 240,336 : x
  2. Step 2: Convert to fraction form
    101,664/240,336 = 240,336/x
  3. Step 3: Cross multiply
    101,664x = 240,336 × 240,336
  4. Step 4: Simplify right side
    101,664x = 57,761,392,896
  5. Step 5: Solve for x
    x = 57,761,392,896/101,664
  6. Step 6: Final answer
    x = 568,159.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.