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Finding the Third Proportional to 136,553.66 and 300,208.46

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Solution

The third proportional to 136,553.66 and 300,208.46 is: 659,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,553.66 : 300,208.46 = 300,208.46 : x
  2. Step 2: Convert to fraction form
    136,553.66/300,208.46 = 300,208.46/x
  3. Step 3: Cross multiply
    136,553.66x = 300,208.46 × 300,208.46
  4. Step 4: Simplify right side
    136,553.66x = 90,125,122,363.84
  5. Step 5: Solve for x
    x = 90,125,122,363.84/136,553.66
  6. Step 6: Final answer
    x = 659,997.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.