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Finding the Third Proportional to 168,807 and 267,304.50

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Solution

The third proportional to 168,807 and 267,304.50 is: 423,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,807 : 267,304.50 = 267,304.50 : x
  2. Step 2: Convert to fraction form
    168,807/267,304.50 = 267,304.50/x
  3. Step 3: Cross multiply
    168,807x = 267,304.50 × 267,304.50
  4. Step 4: Simplify right side
    168,807x = 71,451,695,720.25
  5. Step 5: Solve for x
    x = 71,451,695,720.25/168,807
  6. Step 6: Final answer
    x = 423,274.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.