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Finding the Third Proportional to 234.50 and 509.75

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Solution

The third proportional to 234.50 and 509.75 is: 1,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.50 : 509.75 = 509.75 : x
  2. Step 2: Convert to fraction form
    234.50/509.75 = 509.75/x
  3. Step 3: Cross multiply
    234.50x = 509.75 × 509.75
  4. Step 4: Simplify right side
    234.50x = 259,845.06
  5. Step 5: Solve for x
    x = 259,845.06/234.50
  6. Step 6: Final answer
    x = 1,108.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.