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Finding the Third Proportional to 168,426 and 364,884.75

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Solution

The third proportional to 168,426 and 364,884.75 is: 790,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,426 : 364,884.75 = 364,884.75 : x
  2. Step 2: Convert to fraction form
    168,426/364,884.75 = 364,884.75/x
  3. Step 3: Cross multiply
    168,426x = 364,884.75 × 364,884.75
  4. Step 4: Simplify right side
    168,426x = 133,140,880,782.56
  5. Step 5: Solve for x
    x = 133,140,880,782.56/168,426
  6. Step 6: Final answer
    x = 790,500.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.