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Finding the Third Proportional to 115,571.25 and 250,096.50

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Solution

The third proportional to 115,571.25 and 250,096.50 is: 541,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,571.25 : 250,096.50 = 250,096.50 : x
  2. Step 2: Convert to fraction form
    115,571.25/250,096.50 = 250,096.50/x
  3. Step 3: Cross multiply
    115,571.25x = 250,096.50 × 250,096.50
  4. Step 4: Simplify right side
    115,571.25x = 62,548,259,312.25
  5. Step 5: Solve for x
    x = 62,548,259,312.25/115,571.25
  6. Step 6: Final answer
    x = 541,209.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.