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Finding the Third Proportional to 180,032 and 387,764

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Solution

The third proportional to 180,032 and 387,764 is: 835,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,032 : 387,764 = 387,764 : x
  2. Step 2: Convert to fraction form
    180,032/387,764 = 387,764/x
  3. Step 3: Cross multiply
    180,032x = 387,764 × 387,764
  4. Step 4: Simplify right side
    180,032x = 150,360,919,696
  5. Step 5: Solve for x
    x = 150,360,919,696/180,032
  6. Step 6: Final answer
    x = 835,189.96

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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.