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Finding the Third Proportional to 236.72 and 362.58

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Solution

The third proportional to 236.72 and 362.58 is: 555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.72 : 362.58 = 362.58 : x
  2. Step 2: Convert to fraction form
    236.72/362.58 = 362.58/x
  3. Step 3: Cross multiply
    236.72x = 362.58 × 362.58
  4. Step 4: Simplify right side
    236.72x = 131,462.90
  5. Step 5: Solve for x
    x = 131,462.90/236.72
  6. Step 6: Final answer
    x = 555.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.