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Finding the Third Proportional to 180,033 and 387,768

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Solution

The third proportional to 180,033 and 387,768 is: 835,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,033 : 387,768 = 387,768 : x
  2. Step 2: Convert to fraction form
    180,033/387,768 = 387,768/x
  3. Step 3: Cross multiply
    180,033x = 387,768 × 387,768
  4. Step 4: Simplify right side
    180,033x = 150,364,021,824
  5. Step 5: Solve for x
    x = 150,364,021,824/180,033
  6. Step 6: Final answer
    x = 835,202.56

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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.