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Finding the Third Proportional to 181,935 and 399,591

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Solution

The third proportional to 181,935 and 399,591 is: 877,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,935 : 399,591 = 399,591 : x
  2. Step 2: Convert to fraction form
    181,935/399,591 = 399,591/x
  3. Step 3: Cross multiply
    181,935x = 399,591 × 399,591
  4. Step 4: Simplify right side
    181,935x = 159,672,967,281
  5. Step 5: Solve for x
    x = 159,672,967,281/181,935
  6. Step 6: Final answer
    x = 877,637.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.