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Finding the Third Proportional to 226,270.50 and 446,829

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Solution

The third proportional to 226,270.50 and 446,829 is: 882,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,270.50 : 446,829 = 446,829 : x
  2. Step 2: Convert to fraction form
    226,270.50/446,829 = 446,829/x
  3. Step 3: Cross multiply
    226,270.50x = 446,829 × 446,829
  4. Step 4: Simplify right side
    226,270.50x = 199,656,155,241
  5. Step 5: Solve for x
    x = 199,656,155,241/226,270.50
  6. Step 6: Final answer
    x = 882,378.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.