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Finding the Third Proportional to 233.91 and 492.47

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Solution

The third proportional to 233.91 and 492.47 is: 1,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.91 : 492.47 = 492.47 : x
  2. Step 2: Convert to fraction form
    233.91/492.47 = 492.47/x
  3. Step 3: Cross multiply
    233.91x = 492.47 × 492.47
  4. Step 4: Simplify right side
    233.91x = 242,525.47
  5. Step 5: Solve for x
    x = 242,525.47/233.91
  6. Step 6: Final answer
    x = 1,036.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.