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Finding the Third Proportional to 180,147 and 391,062

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Solution

The third proportional to 180,147 and 391,062 is: 848,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,147 : 391,062 = 391,062 : x
  2. Step 2: Convert to fraction form
    180,147/391,062 = 391,062/x
  3. Step 3: Cross multiply
    180,147x = 391,062 × 391,062
  4. Step 4: Simplify right side
    180,147x = 152,929,487,844
  5. Step 5: Solve for x
    x = 152,929,487,844/180,147
  6. Step 6: Final answer
    x = 848,914.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.