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Finding the Third Proportional to 230 and 309

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Solution

The third proportional to 230 and 309 is: 415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 309 = 309 : x
  2. Step 2: Convert to fraction form
    230/309 = 309/x
  3. Step 3: Cross multiply
    230x = 309 × 309
  4. Step 4: Simplify right side
    230x = 95,481
  5. Step 5: Solve for x
    x = 95,481/230
  6. Step 6: Final answer
    x = 415.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.