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Finding the Third Proportional to 201.66 and 432.63

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Solution

The third proportional to 201.66 and 432.63 is: 928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.66 : 432.63 = 432.63 : x
  2. Step 2: Convert to fraction form
    201.66/432.63 = 432.63/x
  3. Step 3: Cross multiply
    201.66x = 432.63 × 432.63
  4. Step 4: Simplify right side
    201.66x = 187,171.15
  5. Step 5: Solve for x
    x = 187,171.15/201.66
  6. Step 6: Final answer
    x = 928.17

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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.