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Finding the Third Proportional to 181,204 and 409,385

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Solution

The third proportional to 181,204 and 409,385 is: 924,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,204 : 409,385 = 409,385 : x
  2. Step 2: Convert to fraction form
    181,204/409,385 = 409,385/x
  3. Step 3: Cross multiply
    181,204x = 409,385 × 409,385
  4. Step 4: Simplify right side
    181,204x = 167,596,078,225
  5. Step 5: Solve for x
    x = 167,596,078,225/181,204
  6. Step 6: Final answer
    x = 924,902.75

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.