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Finding the Third Proportional to 235.50 and 509.34

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Solution

The third proportional to 235.50 and 509.34 is: 1,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.50 : 509.34 = 509.34 : x
  2. Step 2: Convert to fraction form
    235.50/509.34 = 509.34/x
  3. Step 3: Cross multiply
    235.50x = 509.34 × 509.34
  4. Step 4: Simplify right side
    235.50x = 259,431.06
  5. Step 5: Solve for x
    x = 259,431.06/235.50
  6. Step 6: Final answer
    x = 1,101.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.