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Finding the Third Proportional to 234,453.23 and 548,202.30

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Solution

The third proportional to 234,453.23 and 548,202.30 is: 1,281,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,453.23 : 548,202.30 = 548,202.30 : x
  2. Step 2: Convert to fraction form
    234,453.23/548,202.30 = 548,202.30/x
  3. Step 3: Cross multiply
    234,453.23x = 548,202.30 × 548,202.30
  4. Step 4: Simplify right side
    234,453.23x = 300,525,766,864.69
  5. Step 5: Solve for x
    x = 300,525,766,864.69/234,453.23
  6. Step 6: Final answer
    x = 1,281,815.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.