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Finding the Third Proportional to 161,884.50 and 242,827

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Solution

The third proportional to 161,884.50 and 242,827 is: 364,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,884.50 : 242,827 = 242,827 : x
  2. Step 2: Convert to fraction form
    161,884.50/242,827 = 242,827/x
  3. Step 3: Cross multiply
    161,884.50x = 242,827 × 242,827
  4. Step 4: Simplify right side
    161,884.50x = 58,964,951,929
  5. Step 5: Solve for x
    x = 58,964,951,929/161,884.50
  6. Step 6: Final answer
    x = 364,240.88

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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.