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Finding the Third Proportional to 225,907.31 and 470,542.50

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Solution

The third proportional to 225,907.31 and 470,542.50 is: 980,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,907.31 : 470,542.50 = 470,542.50 : x
  2. Step 2: Convert to fraction form
    225,907.31/470,542.50 = 470,542.50/x
  3. Step 3: Cross multiply
    225,907.31x = 470,542.50 × 470,542.50
  4. Step 4: Simplify right side
    225,907.31x = 221,410,244,306.25
  5. Step 5: Solve for x
    x = 221,410,244,306.25/225,907.31
  6. Step 6: Final answer
    x = 980,093.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.