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Finding the Third Proportional to 226,962 and 341,421.75

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Solution

The third proportional to 226,962 and 341,421.75 is: 513,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,962 : 341,421.75 = 341,421.75 : x
  2. Step 2: Convert to fraction form
    226,962/341,421.75 = 341,421.75/x
  3. Step 3: Cross multiply
    226,962x = 341,421.75 × 341,421.75
  4. Step 4: Simplify right side
    226,962x = 116,568,811,373.06
  5. Step 5: Solve for x
    x = 116,568,811,373.06/226,962
  6. Step 6: Final answer
    x = 513,604.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.