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Finding the Third Proportional to 168,311.25 and 368,294.63

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Solution

The third proportional to 168,311.25 and 368,294.63 is: 805,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,311.25 : 368,294.63 = 368,294.63 : x
  2. Step 2: Convert to fraction form
    168,311.25/368,294.63 = 368,294.63/x
  3. Step 3: Cross multiply
    168,311.25x = 368,294.63 × 368,294.63
  4. Step 4: Simplify right side
    168,311.25x = 135,640,930,803.89
  5. Step 5: Solve for x
    x = 135,640,930,803.89/168,311.25
  6. Step 6: Final answer
    x = 805,893.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.