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Finding the Third Proportional to 131,325.75 and 200,270.25

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Solution

The third proportional to 131,325.75 and 200,270.25 is: 305,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,325.75 : 200,270.25 = 200,270.25 : x
  2. Step 2: Convert to fraction form
    131,325.75/200,270.25 = 200,270.25/x
  3. Step 3: Cross multiply
    131,325.75x = 200,270.25 × 200,270.25
  4. Step 4: Simplify right side
    131,325.75x = 40,108,173,035.06
  5. Step 5: Solve for x
    x = 40,108,173,035.06/131,325.75
  6. Step 6: Final answer
    x = 305,409.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.