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Finding the Third Proportional to 267.36 and 403.10

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Solution

The third proportional to 267.36 and 403.10 is: 607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.36 : 403.10 = 403.10 : x
  2. Step 2: Convert to fraction form
    267.36/403.10 = 403.10/x
  3. Step 3: Cross multiply
    267.36x = 403.10 × 403.10
  4. Step 4: Simplify right side
    267.36x = 162,490.87
  5. Step 5: Solve for x
    x = 162,490.87/267.36
  6. Step 6: Final answer
    x = 607.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.