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Finding the Third Proportional to 168,437.25 and 253,339.50

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Solution

The third proportional to 168,437.25 and 253,339.50 is: 381,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,437.25 : 253,339.50 = 253,339.50 : x
  2. Step 2: Convert to fraction form
    168,437.25/253,339.50 = 253,339.50/x
  3. Step 3: Cross multiply
    168,437.25x = 253,339.50 × 253,339.50
  4. Step 4: Simplify right side
    168,437.25x = 64,180,902,260.25
  5. Step 5: Solve for x
    x = 64,180,902,260.25/168,437.25
  6. Step 6: Final answer
    x = 381,037.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.