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Finding the Third Proportional to 154,477.75 and 338,481.50

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Solution

The third proportional to 154,477.75 and 338,481.50 is: 741,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,477.75 : 338,481.50 = 338,481.50 : x
  2. Step 2: Convert to fraction form
    154,477.75/338,481.50 = 338,481.50/x
  3. Step 3: Cross multiply
    154,477.75x = 338,481.50 × 338,481.50
  4. Step 4: Simplify right side
    154,477.75x = 114,569,725,842.25
  5. Step 5: Solve for x
    x = 114,569,725,842.25/154,477.75
  6. Step 6: Final answer
    x = 741,658.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.