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Finding the Third Proportional to 226,048.50 and 482,085

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Solution

The third proportional to 226,048.50 and 482,085 is: 1,028,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,048.50 : 482,085 = 482,085 : x
  2. Step 2: Convert to fraction form
    226,048.50/482,085 = 482,085/x
  3. Step 3: Cross multiply
    226,048.50x = 482,085 × 482,085
  4. Step 4: Simplify right side
    226,048.50x = 232,405,947,225
  5. Step 5: Solve for x
    x = 232,405,947,225/226,048.50
  6. Step 6: Final answer
    x = 1,028,124.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.