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Finding the Third Proportional to 181,346 and 272,177

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Solution

The third proportional to 181,346 and 272,177 is: 408,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,346 : 272,177 = 272,177 : x
  2. Step 2: Convert to fraction form
    181,346/272,177 = 272,177/x
  3. Step 3: Cross multiply
    181,346x = 272,177 × 272,177
  4. Step 4: Simplify right side
    181,346x = 74,080,319,329
  5. Step 5: Solve for x
    x = 74,080,319,329/181,346
  6. Step 6: Final answer
    x = 408,502.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.