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Finding the Third Proportional to 110,596 and 238,664

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Solution

The third proportional to 110,596 and 238,664 is: 515,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,596 : 238,664 = 238,664 : x
  2. Step 2: Convert to fraction form
    110,596/238,664 = 238,664/x
  3. Step 3: Cross multiply
    110,596x = 238,664 × 238,664
  4. Step 4: Simplify right side
    110,596x = 56,960,504,896
  5. Step 5: Solve for x
    x = 56,960,504,896/110,596
  6. Step 6: Final answer
    x = 515,032.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.