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Finding the Third Proportional to 127,188.50 and 295,723.25

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Solution

The third proportional to 127,188.50 and 295,723.25 is: 687,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,188.50 : 295,723.25 = 295,723.25 : x
  2. Step 2: Convert to fraction form
    127,188.50/295,723.25 = 295,723.25/x
  3. Step 3: Cross multiply
    127,188.50x = 295,723.25 × 295,723.25
  4. Step 4: Simplify right side
    127,188.50x = 87,452,240,590.56
  5. Step 5: Solve for x
    x = 87,452,240,590.56/127,188.50
  6. Step 6: Final answer
    x = 687,579.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.