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Finding the Third Proportional to 168,807.50 and 267,305.50

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Solution

The third proportional to 168,807.50 and 267,305.50 is: 423,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,807.50 : 267,305.50 = 267,305.50 : x
  2. Step 2: Convert to fraction form
    168,807.50/267,305.50 = 267,305.50/x
  3. Step 3: Cross multiply
    168,807.50x = 267,305.50 × 267,305.50
  4. Step 4: Simplify right side
    168,807.50x = 71,452,230,330.25
  5. Step 5: Solve for x
    x = 71,452,230,330.25/168,807.50
  6. Step 6: Final answer
    x = 423,276.40

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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.