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Finding the Third Proportional to 206,440.88 and 301,694.63

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Solution

The third proportional to 206,440.88 and 301,694.63 is: 440,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,440.88 : 301,694.63 = 301,694.63 : x
  2. Step 2: Convert to fraction form
    206,440.88/301,694.63 = 301,694.63/x
  3. Step 3: Cross multiply
    206,440.88x = 301,694.63 × 301,694.63
  4. Step 4: Simplify right side
    206,440.88x = 91,019,646,753.89
  5. Step 5: Solve for x
    x = 91,019,646,753.89/206,440.88
  6. Step 6: Final answer
    x = 440,899.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.