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Finding the Third Proportional to 214.50 and 459.38

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Solution

The third proportional to 214.50 and 459.38 is: 983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 459.38 = 459.38 : x
  2. Step 2: Convert to fraction form
    214.50/459.38 = 459.38/x
  3. Step 3: Cross multiply
    214.50x = 459.38 × 459.38
  4. Step 4: Simplify right side
    214.50x = 211,025.39
  5. Step 5: Solve for x
    x = 211,025.39/214.50
  6. Step 6: Final answer
    x = 983.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.