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Finding the Third Proportional to 181,901 and 372,820

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Solution

The third proportional to 181,901 and 372,820 is: 764,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,901 : 372,820 = 372,820 : x
  2. Step 2: Convert to fraction form
    181,901/372,820 = 372,820/x
  3. Step 3: Cross multiply
    181,901x = 372,820 × 372,820
  4. Step 4: Simplify right side
    181,901x = 138,994,752,400
  5. Step 5: Solve for x
    x = 138,994,752,400/181,901
  6. Step 6: Final answer
    x = 764,123.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.