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Finding the Third Proportional to 127,754 and 263,708

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Solution

The third proportional to 127,754 and 263,708 is: 544,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,754 : 263,708 = 263,708 : x
  2. Step 2: Convert to fraction form
    127,754/263,708 = 263,708/x
  3. Step 3: Cross multiply
    127,754x = 263,708 × 263,708
  4. Step 4: Simplify right side
    127,754x = 69,541,909,264
  5. Step 5: Solve for x
    x = 69,541,909,264/127,754
  6. Step 6: Final answer
    x = 544,342.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.