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Finding the Third Proportional to 181,539 and 439,263

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Solution

The third proportional to 181,539 and 439,263 is: 1,062,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 439,263 = 439,263 : x
  2. Step 2: Convert to fraction form
    181,539/439,263 = 439,263/x
  3. Step 3: Cross multiply
    181,539x = 439,263 × 439,263
  4. Step 4: Simplify right side
    181,539x = 192,951,983,169
  5. Step 5: Solve for x
    x = 192,951,983,169/181,539
  6. Step 6: Final answer
    x = 1,062,867.94

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.