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Finding the Third Proportional to 213,734 and 333,542

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Solution

The third proportional to 213,734 and 333,542 is: 520,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,734 : 333,542 = 333,542 : x
  2. Step 2: Convert to fraction form
    213,734/333,542 = 333,542/x
  3. Step 3: Cross multiply
    213,734x = 333,542 × 333,542
  4. Step 4: Simplify right side
    213,734x = 111,250,265,764
  5. Step 5: Solve for x
    x = 111,250,265,764/213,734
  6. Step 6: Final answer
    x = 520,508.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.