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Finding the Third Proportional to 179,900 and 387,012

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Solution

The third proportional to 179,900 and 387,012 is: 832,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,900 : 387,012 = 387,012 : x
  2. Step 2: Convert to fraction form
    179,900/387,012 = 387,012/x
  3. Step 3: Cross multiply
    179,900x = 387,012 × 387,012
  4. Step 4: Simplify right side
    179,900x = 149,778,288,144
  5. Step 5: Solve for x
    x = 149,778,288,144/179,900
  6. Step 6: Final answer
    x = 832,564.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.