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Finding the Third Proportional to 226,087.88 and 311,450.06

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Solution

The third proportional to 226,087.88 and 311,450.06 is: 429,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,087.88 : 311,450.06 = 311,450.06 : x
  2. Step 2: Convert to fraction form
    226,087.88/311,450.06 = 311,450.06/x
  3. Step 3: Cross multiply
    226,087.88x = 311,450.06 × 311,450.06
  4. Step 4: Simplify right side
    226,087.88x = 97,001,141,431.25
  5. Step 5: Solve for x
    x = 97,001,141,431.25/226,087.88
  6. Step 6: Final answer
    x = 429,041.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.