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Finding the Third Proportional to 206,443.69 and 301,699.69

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Solution

The third proportional to 206,443.69 and 301,699.69 is: 440,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,443.69 : 301,699.69 = 301,699.69 : x
  2. Step 2: Convert to fraction form
    206,443.69/301,699.69 = 301,699.69/x
  3. Step 3: Cross multiply
    206,443.69x = 301,699.69 × 301,699.69
  4. Step 4: Simplify right side
    206,443.69x = 91,022,701,437.60
  5. Step 5: Solve for x
    x = 91,022,701,437.60/206,443.69
  6. Step 6: Final answer
    x = 440,908.14

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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.