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Finding the Third Proportional to 251,280.98 and 541,927.97

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Solution

The third proportional to 251,280.98 and 541,927.97 is: 1,168,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,280.98 : 541,927.97 = 541,927.97 : x
  2. Step 2: Convert to fraction form
    251,280.98/541,927.97 = 541,927.97/x
  3. Step 3: Cross multiply
    251,280.98x = 541,927.97 × 541,927.97
  4. Step 4: Simplify right side
    251,280.98x = 293,685,923,313.50
  5. Step 5: Solve for x
    x = 293,685,923,313.50/251,280.98
  6. Step 6: Final answer
    x = 1,168,755.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.