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Finding the Third Proportional to 188,832 and 288,178

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Solution

The third proportional to 188,832 and 288,178 is: 439,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,832 : 288,178 = 288,178 : x
  2. Step 2: Convert to fraction form
    188,832/288,178 = 288,178/x
  3. Step 3: Cross multiply
    188,832x = 288,178 × 288,178
  4. Step 4: Simplify right side
    188,832x = 83,046,559,684
  5. Step 5: Solve for x
    x = 83,046,559,684/188,832
  6. Step 6: Final answer
    x = 439,790.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.