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Finding the Third Proportional to 216.89 and 474.23

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Solution

The third proportional to 216.89 and 474.23 is: 1,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.89 : 474.23 = 474.23 : x
  2. Step 2: Convert to fraction form
    216.89/474.23 = 474.23/x
  3. Step 3: Cross multiply
    216.89x = 474.23 × 474.23
  4. Step 4: Simplify right side
    216.89x = 224,898.24
  5. Step 5: Solve for x
    x = 224,898.24/216.89
  6. Step 6: Final answer
    x = 1,036.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.