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Finding the Third Proportional to 131,203.50 and 275,626.50

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Solution

The third proportional to 131,203.50 and 275,626.50 is: 579,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,203.50 : 275,626.50 = 275,626.50 : x
  2. Step 2: Convert to fraction form
    131,203.50/275,626.50 = 275,626.50/x
  3. Step 3: Cross multiply
    131,203.50x = 275,626.50 × 275,626.50
  4. Step 4: Simplify right side
    131,203.50x = 75,969,967,502.25
  5. Step 5: Solve for x
    x = 75,969,967,502.25/131,203.50
  6. Step 6: Final answer
    x = 579,023.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.