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Finding the Third Proportional to 218.50 and 473.38

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Solution

The third proportional to 218.50 and 473.38 is: 1,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.50 : 473.38 = 473.38 : x
  2. Step 2: Convert to fraction form
    218.50/473.38 = 473.38/x
  3. Step 3: Cross multiply
    218.50x = 473.38 × 473.38
  4. Step 4: Simplify right side
    218.50x = 224,083.89
  5. Step 5: Solve for x
    x = 224,083.89/218.50
  6. Step 6: Final answer
    x = 1,025.56

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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.