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Finding the Third Proportional to 146,562.75 and 304,789.50

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Solution

The third proportional to 146,562.75 and 304,789.50 is: 633,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,562.75 : 304,789.50 = 304,789.50 : x
  2. Step 2: Convert to fraction form
    146,562.75/304,789.50 = 304,789.50/x
  3. Step 3: Cross multiply
    146,562.75x = 304,789.50 × 304,789.50
  4. Step 4: Simplify right side
    146,562.75x = 92,896,639,310.25
  5. Step 5: Solve for x
    x = 92,896,639,310.25/146,562.75
  6. Step 6: Final answer
    x = 633,835.26

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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.