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Finding the Third Proportional to 188,084 and 288,030

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Solution

The third proportional to 188,084 and 288,030 is: 441,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,084 : 288,030 = 288,030 : x
  2. Step 2: Convert to fraction form
    188,084/288,030 = 288,030/x
  3. Step 3: Cross multiply
    188,084x = 288,030 × 288,030
  4. Step 4: Simplify right side
    188,084x = 82,961,280,900
  5. Step 5: Solve for x
    x = 82,961,280,900/188,084
  6. Step 6: Final answer
    x = 441,086.33

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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.