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Finding the Third Proportional to 226,051.75 and 307,843.50

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Solution

The third proportional to 226,051.75 and 307,843.50 is: 419,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,051.75 : 307,843.50 = 307,843.50 : x
  2. Step 2: Convert to fraction form
    226,051.75/307,843.50 = 307,843.50/x
  3. Step 3: Cross multiply
    226,051.75x = 307,843.50 × 307,843.50
  4. Step 4: Simplify right side
    226,051.75x = 94,767,620,492.25
  5. Step 5: Solve for x
    x = 94,767,620,492.25/226,051.75
  6. Step 6: Final answer
    x = 419,229.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.