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Finding the Third Proportional to 133,114.88 and 289,553.25

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Solution

The third proportional to 133,114.88 and 289,553.25 is: 629,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,114.88 : 289,553.25 = 289,553.25 : x
  2. Step 2: Convert to fraction form
    133,114.88/289,553.25 = 289,553.25/x
  3. Step 3: Cross multiply
    133,114.88x = 289,553.25 × 289,553.25
  4. Step 4: Simplify right side
    133,114.88x = 83,841,084,585.56
  5. Step 5: Solve for x
    x = 83,841,084,585.56/133,114.88
  6. Step 6: Final answer
    x = 629,840.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.