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Finding the Third Proportional to 181,908 and 372,560

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Solution

The third proportional to 181,908 and 372,560 is: 763,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,908 : 372,560 = 372,560 : x
  2. Step 2: Convert to fraction form
    181,908/372,560 = 372,560/x
  3. Step 3: Cross multiply
    181,908x = 372,560 × 372,560
  4. Step 4: Simplify right side
    181,908x = 138,800,953,600
  5. Step 5: Solve for x
    x = 138,800,953,600/181,908
  6. Step 6: Final answer
    x = 763,028.31

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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.