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Finding the Third Proportional to 133,651.90 and 283,996.76

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Solution

The third proportional to 133,651.90 and 283,996.76 is: 603,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,651.90 : 283,996.76 = 283,996.76 : x
  2. Step 2: Convert to fraction form
    133,651.90/283,996.76 = 283,996.76/x
  3. Step 3: Cross multiply
    133,651.90x = 283,996.76 × 283,996.76
  4. Step 4: Simplify right side
    133,651.90x = 80,654,158,448.01
  5. Step 5: Solve for x
    x = 80,654,158,448.01/133,651.90
  6. Step 6: Final answer
    x = 603,464.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.