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Finding the Third Proportional to 188,385 and 282,999

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Solution

The third proportional to 188,385 and 282,999 is: 425,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,385 : 282,999 = 282,999 : x
  2. Step 2: Convert to fraction form
    188,385/282,999 = 282,999/x
  3. Step 3: Cross multiply
    188,385x = 282,999 × 282,999
  4. Step 4: Simplify right side
    188,385x = 80,088,434,001
  5. Step 5: Solve for x
    x = 80,088,434,001/188,385
  6. Step 6: Final answer
    x = 425,131.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.