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Finding the Third Proportional to 253,867.50 and 547,767

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Solution

The third proportional to 253,867.50 and 547,767 is: 1,181,910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,867.50 : 547,767 = 547,767 : x
  2. Step 2: Convert to fraction form
    253,867.50/547,767 = 547,767/x
  3. Step 3: Cross multiply
    253,867.50x = 547,767 × 547,767
  4. Step 4: Simplify right side
    253,867.50x = 300,048,686,289
  5. Step 5: Solve for x
    x = 300,048,686,289/253,867.50
  6. Step 6: Final answer
    x = 1,181,910.59

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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.