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Finding the Third Proportional to 224,940 and 475,165.50

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Solution

The third proportional to 224,940 and 475,165.50 is: 1,003,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,940 : 475,165.50 = 475,165.50 : x
  2. Step 2: Convert to fraction form
    224,940/475,165.50 = 475,165.50/x
  3. Step 3: Cross multiply
    224,940x = 475,165.50 × 475,165.50
  4. Step 4: Simplify right side
    224,940x = 225,782,252,390.25
  5. Step 5: Solve for x
    x = 225,782,252,390.25/224,940
  6. Step 6: Final answer
    x = 1,003,744.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.