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Finding the Third Proportional to 127,225.69 and 264,917.25

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Solution

The third proportional to 127,225.69 and 264,917.25 is: 551,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,225.69 : 264,917.25 = 264,917.25 : x
  2. Step 2: Convert to fraction form
    127,225.69/264,917.25 = 264,917.25/x
  3. Step 3: Cross multiply
    127,225.69x = 264,917.25 × 264,917.25
  4. Step 4: Simplify right side
    127,225.69x = 70,181,149,347.56
  5. Step 5: Solve for x
    x = 70,181,149,347.56/127,225.69
  6. Step 6: Final answer
    x = 551,627.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.