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Finding the Third Proportional to 127,961.25 and 299,035.50

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Solution

The third proportional to 127,961.25 and 299,035.50 is: 698,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,961.25 : 299,035.50 = 299,035.50 : x
  2. Step 2: Convert to fraction form
    127,961.25/299,035.50 = 299,035.50/x
  3. Step 3: Cross multiply
    127,961.25x = 299,035.50 × 299,035.50
  4. Step 4: Simplify right side
    127,961.25x = 89,422,230,260.25
  5. Step 5: Solve for x
    x = 89,422,230,260.25/127,961.25
  6. Step 6: Final answer
    x = 698,822.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.