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Finding the Third Proportional to 127,327.25 and 269,832.25

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Solution

The third proportional to 127,327.25 and 269,832.25 is: 571,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,327.25 : 269,832.25 = 269,832.25 : x
  2. Step 2: Convert to fraction form
    127,327.25/269,832.25 = 269,832.25/x
  3. Step 3: Cross multiply
    127,327.25x = 269,832.25 × 269,832.25
  4. Step 4: Simplify right side
    127,327.25x = 72,809,443,140.06
  5. Step 5: Solve for x
    x = 72,809,443,140.06/127,327.25
  6. Step 6: Final answer
    x = 571,829.23

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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.