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Finding the Third Proportional to 104,531.50 and 225,830

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Solution

The third proportional to 104,531.50 and 225,830 is: 487,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,531.50 : 225,830 = 225,830 : x
  2. Step 2: Convert to fraction form
    104,531.50/225,830 = 225,830/x
  3. Step 3: Cross multiply
    104,531.50x = 225,830 × 225,830
  4. Step 4: Simplify right side
    104,531.50x = 50,999,188,900
  5. Step 5: Solve for x
    x = 50,999,188,900/104,531.50
  6. Step 6: Final answer
    x = 487,883.45

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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.