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Finding the Third Proportional to 127,878 and 269,232

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Solution

The third proportional to 127,878 and 269,232 is: 566,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,878 : 269,232 = 269,232 : x
  2. Step 2: Convert to fraction form
    127,878/269,232 = 269,232/x
  3. Step 3: Cross multiply
    127,878x = 269,232 × 269,232
  4. Step 4: Simplify right side
    127,878x = 72,485,869,824
  5. Step 5: Solve for x
    x = 72,485,869,824/127,878
  6. Step 6: Final answer
    x = 566,836.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.