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Finding the Third Proportional to 215.16 and 463.54

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Solution

The third proportional to 215.16 and 463.54 is: 998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 463.54 = 463.54 : x
  2. Step 2: Convert to fraction form
    215.16/463.54 = 463.54/x
  3. Step 3: Cross multiply
    215.16x = 463.54 × 463.54
  4. Step 4: Simplify right side
    215.16x = 214,864.84
  5. Step 5: Solve for x
    x = 214,864.84/215.16
  6. Step 6: Final answer
    x = 998.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.