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Finding the Third Proportional to 254,164.50 and 543,231

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Solution

The third proportional to 254,164.50 and 543,231 is: 1,161,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,164.50 : 543,231 = 543,231 : x
  2. Step 2: Convert to fraction form
    254,164.50/543,231 = 543,231/x
  3. Step 3: Cross multiply
    254,164.50x = 543,231 × 543,231
  4. Step 4: Simplify right side
    254,164.50x = 295,099,919,361
  5. Step 5: Solve for x
    x = 295,099,919,361/254,164.50
  6. Step 6: Final answer
    x = 1,161,058.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.