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Finding the Third Proportional to 127,960 and 264,128

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Solution

The third proportional to 127,960 and 264,128 is: 545,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,960 : 264,128 = 264,128 : x
  2. Step 2: Convert to fraction form
    127,960/264,128 = 264,128/x
  3. Step 3: Cross multiply
    127,960x = 264,128 × 264,128
  4. Step 4: Simplify right side
    127,960x = 69,763,600,384
  5. Step 5: Solve for x
    x = 69,763,600,384/127,960
  6. Step 6: Final answer
    x = 545,198.50

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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.