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Finding the Third Proportional to 234.75 and 314.63

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Solution

The third proportional to 234.75 and 314.63 is: 421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.75 : 314.63 = 314.63 : x
  2. Step 2: Convert to fraction form
    234.75/314.63 = 314.63/x
  3. Step 3: Cross multiply
    234.75x = 314.63 × 314.63
  4. Step 4: Simplify right side
    234.75x = 98,988.89
  5. Step 5: Solve for x
    x = 98,988.89/234.75
  6. Step 6: Final answer
    x = 421.68

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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.