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Finding the Third Proportional to 206,434.50 and 431,595

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Solution

The third proportional to 206,434.50 and 431,595 is: 902,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,434.50 : 431,595 = 431,595 : x
  2. Step 2: Convert to fraction form
    206,434.50/431,595 = 431,595/x
  3. Step 3: Cross multiply
    206,434.50x = 431,595 × 431,595
  4. Step 4: Simplify right side
    206,434.50x = 186,274,244,025
  5. Step 5: Solve for x
    x = 186,274,244,025/206,434.50
  6. Step 6: Final answer
    x = 902,340.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.