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Finding the Third Proportional to 180,132 and 388,184

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Solution

The third proportional to 180,132 and 388,184 is: 836,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,132 : 388,184 = 388,184 : x
  2. Step 2: Convert to fraction form
    180,132/388,184 = 388,184/x
  3. Step 3: Cross multiply
    180,132x = 388,184 × 388,184
  4. Step 4: Simplify right side
    180,132x = 150,686,817,856
  5. Step 5: Solve for x
    x = 150,686,817,856/180,132
  6. Step 6: Final answer
    x = 836,535.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.