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Finding the Third Proportional to 233.16 and 491.63

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Solution

The third proportional to 233.16 and 491.63 is: 1,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 491.63 = 491.63 : x
  2. Step 2: Convert to fraction form
    233.16/491.63 = 491.63/x
  3. Step 3: Cross multiply
    233.16x = 491.63 × 491.63
  4. Step 4: Simplify right side
    233.16x = 241,695.14
  5. Step 5: Solve for x
    x = 241,695.14/233.16
  6. Step 6: Final answer
    x = 1,036.62

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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.