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Finding the Third Proportional to 188,043 and 391,638

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Solution

The third proportional to 188,043 and 391,638 is: 815,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,043 : 391,638 = 391,638 : x
  2. Step 2: Convert to fraction form
    188,043/391,638 = 391,638/x
  3. Step 3: Cross multiply
    188,043x = 391,638 × 391,638
  4. Step 4: Simplify right side
    188,043x = 153,380,323,044
  5. Step 5: Solve for x
    x = 153,380,323,044/188,043
  6. Step 6: Final answer
    x = 815,666.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.