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Finding the Third Proportional to 93.18 and 200.52

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Solution

The third proportional to 93.18 and 200.52 is: 431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.18 : 200.52 = 200.52 : x
  2. Step 2: Convert to fraction form
    93.18/200.52 = 200.52/x
  3. Step 3: Cross multiply
    93.18x = 200.52 × 200.52
  4. Step 4: Simplify right side
    93.18x = 40,209.26
  5. Step 5: Solve for x
    x = 40,209.26/93.18
  6. Step 6: Final answer
    x = 431.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.