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Finding the Third Proportional to 233.09 and 347.84

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Solution

The third proportional to 233.09 and 347.84 is: 519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.09 : 347.84 = 347.84 : x
  2. Step 2: Convert to fraction form
    233.09/347.84 = 347.84/x
  3. Step 3: Cross multiply
    233.09x = 347.84 × 347.84
  4. Step 4: Simplify right side
    233.09x = 120,989.84
  5. Step 5: Solve for x
    x = 120,989.84/233.09
  6. Step 6: Final answer
    x = 519.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.