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Finding the Third Proportional to 234.56 and 566.53

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Solution

The third proportional to 234.56 and 566.53 is: 1,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 566.53 = 566.53 : x
  2. Step 2: Convert to fraction form
    234.56/566.53 = 566.53/x
  3. Step 3: Cross multiply
    234.56x = 566.53 × 566.53
  4. Step 4: Simplify right side
    234.56x = 320,957.66
  5. Step 5: Solve for x
    x = 320,957.66/234.56
  6. Step 6: Final answer
    x = 1,368.32

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.