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Finding the Third Proportional to 127,221.75 and 264,910.50

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Solution

The third proportional to 127,221.75 and 264,910.50 is: 551,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,221.75 : 264,910.50 = 264,910.50 : x
  2. Step 2: Convert to fraction form
    127,221.75/264,910.50 = 264,910.50/x
  3. Step 3: Cross multiply
    127,221.75x = 264,910.50 × 264,910.50
  4. Step 4: Simplify right side
    127,221.75x = 70,177,573,010.25
  5. Step 5: Solve for x
    x = 70,177,573,010.25/127,221.75
  6. Step 6: Final answer
    x = 551,616.16

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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.