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Finding the Third Proportional to 216.98 and 477.42

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Solution

The third proportional to 216.98 and 477.42 is: 1,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.98 : 477.42 = 477.42 : x
  2. Step 2: Convert to fraction form
    216.98/477.42 = 477.42/x
  3. Step 3: Cross multiply
    216.98x = 477.42 × 477.42
  4. Step 4: Simplify right side
    216.98x = 227,931.65
  5. Step 5: Solve for x
    x = 227,931.65/216.98
  6. Step 6: Final answer
    x = 1,050.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.