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Finding the Third Proportional to 104,180.50 and 226,235

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Solution

The third proportional to 104,180.50 and 226,235 is: 491,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,180.50 : 226,235 = 226,235 : x
  2. Step 2: Convert to fraction form
    104,180.50/226,235 = 226,235/x
  3. Step 3: Cross multiply
    104,180.50x = 226,235 × 226,235
  4. Step 4: Simplify right side
    104,180.50x = 51,182,275,225
  5. Step 5: Solve for x
    x = 51,182,275,225/104,180.50
  6. Step 6: Final answer
    x = 491,284.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.