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Finding the Third Proportional to 206,568.98 and 431,693.30

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Solution

The third proportional to 206,568.98 and 431,693.30 is: 902,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,568.98 : 431,693.30 = 431,693.30 : x
  2. Step 2: Convert to fraction form
    206,568.98/431,693.30 = 431,693.30/x
  3. Step 3: Cross multiply
    206,568.98x = 431,693.30 × 431,693.30
  4. Step 4: Simplify right side
    206,568.98x = 186,359,102,566.81
  5. Step 5: Solve for x
    x = 186,359,102,566.81/206,568.98
  6. Step 6: Final answer
    x = 902,164.01

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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.