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Finding the Third Proportional to 250 and 327.50

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Solution

The third proportional to 250 and 327.50 is: 429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    250 : 327.50 = 327.50 : x
  2. Step 2: Convert to fraction form
    250/327.50 = 327.50/x
  3. Step 3: Cross multiply
    250x = 327.50 × 327.50
  4. Step 4: Simplify right side
    250x = 107,256.25
  5. Step 5: Solve for x
    x = 107,256.25/250
  6. Step 6: Final answer
    x = 429.03

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.