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Finding the Third Proportional to 188,184.94 and 268,264.69

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Solution

The third proportional to 188,184.94 and 268,264.69 is: 382,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,184.94 : 268,264.69 = 268,264.69 : x
  2. Step 2: Convert to fraction form
    188,184.94/268,264.69 = 268,264.69/x
  3. Step 3: Cross multiply
    188,184.94x = 268,264.69 × 268,264.69
  4. Step 4: Simplify right side
    188,184.94x = 71,965,942,559.47
  5. Step 5: Solve for x
    x = 71,965,942,559.47/188,184.94
  6. Step 6: Final answer
    x = 382,421.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.