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Finding the Third Proportional to 226,334.25 and 496,192.50

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Solution

The third proportional to 226,334.25 and 496,192.50 is: 1,087,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,334.25 : 496,192.50 = 496,192.50 : x
  2. Step 2: Convert to fraction form
    226,334.25/496,192.50 = 496,192.50/x
  3. Step 3: Cross multiply
    226,334.25x = 496,192.50 × 496,192.50
  4. Step 4: Simplify right side
    226,334.25x = 246,206,997,056.25
  5. Step 5: Solve for x
    x = 246,206,997,056.25/226,334.25
  6. Step 6: Final answer
    x = 1,087,802.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.