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Finding the Third Proportional to 181,200 and 387,333

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Solution

The third proportional to 181,200 and 387,333 is: 827,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,200 : 387,333 = 387,333 : x
  2. Step 2: Convert to fraction form
    181,200/387,333 = 387,333/x
  3. Step 3: Cross multiply
    181,200x = 387,333 × 387,333
  4. Step 4: Simplify right side
    181,200x = 150,026,852,889
  5. Step 5: Solve for x
    x = 150,026,852,889/181,200
  6. Step 6: Final answer
    x = 827,962.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.