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Finding the Third Proportional to 367.08 and 521.93

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Solution

The third proportional to 367.08 and 521.93 is: 742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.08 : 521.93 = 521.93 : x
  2. Step 2: Convert to fraction form
    367.08/521.93 = 521.93/x
  3. Step 3: Cross multiply
    367.08x = 521.93 × 521.93
  4. Step 4: Simplify right side
    367.08x = 272,410.60
  5. Step 5: Solve for x
    x = 272,410.60/367.08
  6. Step 6: Final answer
    x = 742.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.