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Finding the Third Proportional to 251,824.50 and 543,528.56

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Solution

The third proportional to 251,824.50 and 543,528.56 is: 1,173,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,824.50 : 543,528.56 = 543,528.56 : x
  2. Step 2: Convert to fraction form
    251,824.50/543,528.56 = 543,528.56/x
  3. Step 3: Cross multiply
    251,824.50x = 543,528.56 × 543,528.56
  4. Step 4: Simplify right side
    251,824.50x = 295,423,298,253.32
  5. Step 5: Solve for x
    x = 295,423,298,253.32/251,824.50
  6. Step 6: Final answer
    x = 1,173,131.68

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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.