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Finding the Third Proportional to 182,821.50 and 279,092.25

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Solution

The third proportional to 182,821.50 and 279,092.25 is: 426,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,821.50 : 279,092.25 = 279,092.25 : x
  2. Step 2: Convert to fraction form
    182,821.50/279,092.25 = 279,092.25/x
  3. Step 3: Cross multiply
    182,821.50x = 279,092.25 × 279,092.25
  4. Step 4: Simplify right side
    182,821.50x = 77,892,484,010.06
  5. Step 5: Solve for x
    x = 77,892,484,010.06/182,821.50
  6. Step 6: Final answer
    x = 426,057.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.