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Finding the Third Proportional to 146,439.75 and 304,542.75

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Solution

The third proportional to 146,439.75 and 304,542.75 is: 633,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,439.75 : 304,542.75 = 304,542.75 : x
  2. Step 2: Convert to fraction form
    146,439.75/304,542.75 = 304,542.75/x
  3. Step 3: Cross multiply
    146,439.75x = 304,542.75 × 304,542.75
  4. Step 4: Simplify right side
    146,439.75x = 92,746,286,577.56
  5. Step 5: Solve for x
    x = 92,746,286,577.56/146,439.75
  6. Step 6: Final answer
    x = 633,340.92

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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.