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Finding the Third Proportional to 233.56 and 497.53

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Solution

The third proportional to 233.56 and 497.53 is: 1,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.56 : 497.53 = 497.53 : x
  2. Step 2: Convert to fraction form
    233.56/497.53 = 497.53/x
  3. Step 3: Cross multiply
    233.56x = 497.53 × 497.53
  4. Step 4: Simplify right side
    233.56x = 247,537.34
  5. Step 5: Solve for x
    x = 247,537.34/233.56
  6. Step 6: Final answer
    x = 1,059.83

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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.