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Finding the Third Proportional to 233.13 and 313.63

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Solution

The third proportional to 233.13 and 313.63 is: 421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.13 : 313.63 = 313.63 : x
  2. Step 2: Convert to fraction form
    233.13/313.63 = 313.63/x
  3. Step 3: Cross multiply
    233.13x = 313.63 × 313.63
  4. Step 4: Simplify right side
    233.13x = 98,360.64
  5. Step 5: Solve for x
    x = 98,360.64/233.13
  6. Step 6: Final answer
    x = 421.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.