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Finding the Third Proportional to 213,542 and 327,552

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Solution

The third proportional to 213,542 and 327,552 is: 502,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,542 : 327,552 = 327,552 : x
  2. Step 2: Convert to fraction form
    213,542/327,552 = 327,552/x
  3. Step 3: Cross multiply
    213,542x = 327,552 × 327,552
  4. Step 4: Simplify right side
    213,542x = 107,290,312,704
  5. Step 5: Solve for x
    x = 107,290,312,704/213,542
  6. Step 6: Final answer
    x = 502,431.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.