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Finding the Third Proportional to 215.08 and 466.62

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Solution

The third proportional to 215.08 and 466.62 is: 1,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.08 : 466.62 = 466.62 : x
  2. Step 2: Convert to fraction form
    215.08/466.62 = 466.62/x
  3. Step 3: Cross multiply
    215.08x = 466.62 × 466.62
  4. Step 4: Simplify right side
    215.08x = 217,734.33
  5. Step 5: Solve for x
    x = 217,734.33/215.08
  6. Step 6: Final answer
    x = 1,012.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.