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Finding the Third Proportional to 127,232 and 269,824

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Solution

The third proportional to 127,232 and 269,824 is: 572,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,232 : 269,824 = 269,824 : x
  2. Step 2: Convert to fraction form
    127,232/269,824 = 269,824/x
  3. Step 3: Cross multiply
    127,232x = 269,824 × 269,824
  4. Step 4: Simplify right side
    127,232x = 72,804,990,976
  5. Step 5: Solve for x
    x = 72,804,990,976/127,232
  6. Step 6: Final answer
    x = 572,222.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.