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Finding the Third Proportional to 219.50 and 508.25

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Solution

The third proportional to 219.50 and 508.25 is: 1,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.50 : 508.25 = 508.25 : x
  2. Step 2: Convert to fraction form
    219.50/508.25 = 508.25/x
  3. Step 3: Cross multiply
    219.50x = 508.25 × 508.25
  4. Step 4: Simplify right side
    219.50x = 258,318.06
  5. Step 5: Solve for x
    x = 258,318.06/219.50
  6. Step 6: Final answer
    x = 1,176.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.