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Finding the Third Proportional to 310.63 and 422.88

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Solution

The third proportional to 310.63 and 422.88 is: 575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.63 : 422.88 = 422.88 : x
  2. Step 2: Convert to fraction form
    310.63/422.88 = 422.88/x
  3. Step 3: Cross multiply
    310.63x = 422.88 × 422.88
  4. Step 4: Simplify right side
    310.63x = 178,823.27
  5. Step 5: Solve for x
    x = 178,823.27/310.63
  6. Step 6: Final answer
    x = 575.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.