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Finding the Third Proportional to 181,040 and 253,225

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Solution

The third proportional to 181,040 and 253,225 is: 354,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,040 : 253,225 = 253,225 : x
  2. Step 2: Convert to fraction form
    181,040/253,225 = 253,225/x
  3. Step 3: Cross multiply
    181,040x = 253,225 × 253,225
  4. Step 4: Simplify right side
    181,040x = 64,122,900,625
  5. Step 5: Solve for x
    x = 64,122,900,625/181,040
  6. Step 6: Final answer
    x = 354,191.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.