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Finding the Third Proportional to 168,800.63 and 261,287.44

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Solution

The third proportional to 168,800.63 and 261,287.44 is: 404,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,800.63 : 261,287.44 = 261,287.44 : x
  2. Step 2: Convert to fraction form
    168,800.63/261,287.44 = 261,287.44/x
  3. Step 3: Cross multiply
    168,800.63x = 261,287.44 × 261,287.44
  4. Step 4: Simplify right side
    168,800.63x = 68,271,124,995.32
  5. Step 5: Solve for x
    x = 68,271,124,995.32/168,800.63
  6. Step 6: Final answer
    x = 404,448.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.