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Finding the Third Proportional to 166,372 and 360,770

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Solution

The third proportional to 166,372 and 360,770 is: 782,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,372 : 360,770 = 360,770 : x
  2. Step 2: Convert to fraction form
    166,372/360,770 = 360,770/x
  3. Step 3: Cross multiply
    166,372x = 360,770 × 360,770
  4. Step 4: Simplify right side
    166,372x = 130,154,992,900
  5. Step 5: Solve for x
    x = 130,154,992,900/166,372
  6. Step 6: Final answer
    x = 782,313.09

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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.