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Finding the Third Proportional to 180,101.25 and 388,134

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Solution

The third proportional to 180,101.25 and 388,134 is: 836,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,101.25 : 388,134 = 388,134 : x
  2. Step 2: Convert to fraction form
    180,101.25/388,134 = 388,134/x
  3. Step 3: Cross multiply
    180,101.25x = 388,134 × 388,134
  4. Step 4: Simplify right side
    180,101.25x = 150,648,001,956
  5. Step 5: Solve for x
    x = 150,648,001,956/180,101.25
  6. Step 6: Final answer
    x = 836,462.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.