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Finding the Third Proportional to 345 and 634.88

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Solution

The third proportional to 345 and 634.88 is: 1,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    345 : 634.88 = 634.88 : x
  2. Step 2: Convert to fraction form
    345/634.88 = 634.88/x
  3. Step 3: Cross multiply
    345x = 634.88 × 634.88
  4. Step 4: Simplify right side
    345x = 403,066.27
  5. Step 5: Solve for x
    x = 403,066.27/345
  6. Step 6: Final answer
    x = 1,168.31

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.