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Finding the Third Proportional to 105,262.88 and 226,287.84

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Solution

The third proportional to 105,262.88 and 226,287.84 is: 486,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,262.88 : 226,287.84 = 226,287.84 : x
  2. Step 2: Convert to fraction form
    105,262.88/226,287.84 = 226,287.84/x
  3. Step 3: Cross multiply
    105,262.88x = 226,287.84 × 226,287.84
  4. Step 4: Simplify right side
    105,262.88x = 51,206,188,229.02
  5. Step 5: Solve for x
    x = 51,206,188,229.02/105,262.88
  6. Step 6: Final answer
    x = 486,460.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.