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Finding the Third Proportional to 213,930 and 332,595

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Solution

The third proportional to 213,930 and 332,595 is: 517,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,930 : 332,595 = 332,595 : x
  2. Step 2: Convert to fraction form
    213,930/332,595 = 332,595/x
  3. Step 3: Cross multiply
    213,930x = 332,595 × 332,595
  4. Step 4: Simplify right side
    213,930x = 110,619,434,025
  5. Step 5: Solve for x
    x = 110,619,434,025/213,930
  6. Step 6: Final answer
    x = 517,082.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.