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Finding the Third Proportional to 183,433 and 263,473.50

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Solution

The third proportional to 183,433 and 263,473.50 is: 378,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,433 : 263,473.50 = 263,473.50 : x
  2. Step 2: Convert to fraction form
    183,433/263,473.50 = 263,473.50/x
  3. Step 3: Cross multiply
    183,433x = 263,473.50 × 263,473.50
  4. Step 4: Simplify right side
    183,433x = 69,418,285,202.25
  5. Step 5: Solve for x
    x = 69,418,285,202.25/183,433
  6. Step 6: Final answer
    x = 378,439.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.