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Finding the Third Proportional to 219,627 and 332,208.75

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Solution

The third proportional to 219,627 and 332,208.75 is: 502,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,627 : 332,208.75 = 332,208.75 : x
  2. Step 2: Convert to fraction form
    219,627/332,208.75 = 332,208.75/x
  3. Step 3: Cross multiply
    219,627x = 332,208.75 × 332,208.75
  4. Step 4: Simplify right side
    219,627x = 110,362,653,576.56
  5. Step 5: Solve for x
    x = 110,362,653,576.56/219,627
  6. Step 6: Final answer
    x = 502,500.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.