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Finding the Third Proportional to 332,114 and 502,103

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Solution

The third proportional to 332,114 and 502,103 is: 759,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,114 : 502,103 = 502,103 : x
  2. Step 2: Convert to fraction form
    332,114/502,103 = 502,103/x
  3. Step 3: Cross multiply
    332,114x = 502,103 × 502,103
  4. Step 4: Simplify right side
    332,114x = 252,107,422,609
  5. Step 5: Solve for x
    x = 252,107,422,609/332,114
  6. Step 6: Final answer
    x = 759,099.05

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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.