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Finding the Third Proportional to 230.34 and 508.78

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Solution

The third proportional to 230.34 and 508.78 is: 1,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 508.78 = 508.78 : x
  2. Step 2: Convert to fraction form
    230.34/508.78 = 508.78/x
  3. Step 3: Cross multiply
    230.34x = 508.78 × 508.78
  4. Step 4: Simplify right side
    230.34x = 258,858.36
  5. Step 5: Solve for x
    x = 258,858.36/230.34
  6. Step 6: Final answer
    x = 1,123.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.