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Finding the Third Proportional to 134,544 and 269,064

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Solution

The third proportional to 134,544 and 269,064 is: 538,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,544 : 269,064 = 269,064 : x
  2. Step 2: Convert to fraction form
    134,544/269,064 = 269,064/x
  3. Step 3: Cross multiply
    134,544x = 269,064 × 269,064
  4. Step 4: Simplify right side
    134,544x = 72,395,436,096
  5. Step 5: Solve for x
    x = 72,395,436,096/134,544
  6. Step 6: Final answer
    x = 538,080.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.