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Finding the Third Proportional to 233.51 and 348.84

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Solution

The third proportional to 233.51 and 348.84 is: 521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.51 : 348.84 = 348.84 : x
  2. Step 2: Convert to fraction form
    233.51/348.84 = 348.84/x
  3. Step 3: Cross multiply
    233.51x = 348.84 × 348.84
  4. Step 4: Simplify right side
    233.51x = 121,687.87
  5. Step 5: Solve for x
    x = 121,687.87/233.51
  6. Step 6: Final answer
    x = 521.13

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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.