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Finding the Third Proportional to 226,734.75 and 498,179.25

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Solution

The third proportional to 226,734.75 and 498,179.25 is: 1,094,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,734.75 : 498,179.25 = 498,179.25 : x
  2. Step 2: Convert to fraction form
    226,734.75/498,179.25 = 498,179.25/x
  3. Step 3: Cross multiply
    226,734.75x = 498,179.25 × 498,179.25
  4. Step 4: Simplify right side
    226,734.75x = 248,182,565,130.56
  5. Step 5: Solve for x
    x = 248,182,565,130.56/226,734.75
  6. Step 6: Final answer
    x = 1,094,594.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.