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Finding the Third Proportional to 252.50 and 359.50

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Solution

The third proportional to 252.50 and 359.50 is: 511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.50 : 359.50 = 359.50 : x
  2. Step 2: Convert to fraction form
    252.50/359.50 = 359.50/x
  3. Step 3: Cross multiply
    252.50x = 359.50 × 359.50
  4. Step 4: Simplify right side
    252.50x = 129,240.25
  5. Step 5: Solve for x
    x = 129,240.25/252.50
  6. Step 6: Final answer
    x = 511.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.