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Finding the Third Proportional to 352 and 559.25

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Solution

The third proportional to 352 and 559.25 is: 888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    352 : 559.25 = 559.25 : x
  2. Step 2: Convert to fraction form
    352/559.25 = 559.25/x
  3. Step 3: Cross multiply
    352x = 559.25 × 559.25
  4. Step 4: Simplify right side
    352x = 312,760.56
  5. Step 5: Solve for x
    x = 312,760.56/352
  6. Step 6: Final answer
    x = 888.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.