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Finding the Third Proportional to 127,328 and 269,833

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Solution

The third proportional to 127,328 and 269,833 is: 571,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,328 : 269,833 = 269,833 : x
  2. Step 2: Convert to fraction form
    127,328/269,833 = 269,833/x
  3. Step 3: Cross multiply
    127,328x = 269,833 × 269,833
  4. Step 4: Simplify right side
    127,328x = 72,809,847,889
  5. Step 5: Solve for x
    x = 72,809,847,889/127,328
  6. Step 6: Final answer
    x = 571,829.04

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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.