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Finding the Third Proportional to 114.33 and 243.84

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Solution

The third proportional to 114.33 and 243.84 is: 520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.33 : 243.84 = 243.84 : x
  2. Step 2: Convert to fraction form
    114.33/243.84 = 243.84/x
  3. Step 3: Cross multiply
    114.33x = 243.84 × 243.84
  4. Step 4: Simplify right side
    114.33x = 59,459.77
  5. Step 5: Solve for x
    x = 59,459.77/114.33
  6. Step 6: Final answer
    x = 520.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.