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Finding the Third Proportional to 104,043 and 224,475

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Solution

The third proportional to 104,043 and 224,475 is: 484,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,043 : 224,475 = 224,475 : x
  2. Step 2: Convert to fraction form
    104,043/224,475 = 224,475/x
  3. Step 3: Cross multiply
    104,043x = 224,475 × 224,475
  4. Step 4: Simplify right side
    104,043x = 50,389,025,625
  5. Step 5: Solve for x
    x = 50,389,025,625/104,043
  6. Step 6: Final answer
    x = 484,309.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.